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Finding the Fourth Proportional to 462,397.50, 693,596.25 and 129,973.50

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Solution

The fourth proportional to 462,397.50, 693,596.25 and 129,973.50 is: 194,960.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    462,397.50 : 693,596.25 = 129,973.50 : x
  2. Step 2: Convert to fraction form
    462,397.50/693,596.25 = 129,973.50/x
  3. Step 3: Cross multiply
    462,397.50x = 693,596.25 × 129,973.50
  4. Step 4: Simplify right side
    462,397.50x = 90,149,132,199.38
  5. Step 5: Solve for x
    x = 90,149,132,199.38/462,397.50
  6. Step 6: Final answer
    x = 194,960.25

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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.