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Finding the Fourth Proportional to 614,748.90, 922,123.35 and 413,982.30

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Solution

The fourth proportional to 614,748.90, 922,123.35 and 413,982.30 is: 620,973.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    614,748.90 : 922,123.35 = 413,982.30 : x
  2. Step 2: Convert to fraction form
    614,748.90/922,123.35 = 413,982.30/x
  3. Step 3: Cross multiply
    614,748.90x = 922,123.35 × 413,982.30
  4. Step 4: Simplify right side
    614,748.90x = 381,742,745,316.71
  5. Step 5: Solve for x
    x = 381,742,745,316.71/614,748.90
  6. Step 6: Final answer
    x = 620,973.45

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Double scale
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Similar ratio
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.