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Finding the Fourth Proportional to 614,743.40, 922,115.10 and 413,976.80

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Solution

The fourth proportional to 614,743.40, 922,115.10 and 413,976.80 is: 620,965.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    614,743.40 : 922,115.10 = 413,976.80 : x
  2. Step 2: Convert to fraction form
    614,743.40/922,115.10 = 413,976.80/x
  3. Step 3: Cross multiply
    614,743.40x = 922,115.10 × 413,976.80
  4. Step 4: Simplify right side
    614,743.40x = 381,734,258,329.68
  5. Step 5: Solve for x
    x = 381,734,258,329.68/614,743.40
  6. Step 6: Final answer
    x = 620,965.20

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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.