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Finding the Fourth Proportional to 415,681.70, 623,706.15 and 202,331.30

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Solution

The fourth proportional to 415,681.70, 623,706.15 and 202,331.30 is: 303,586.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,681.70 : 623,706.15 = 202,331.30 : x
  2. Step 2: Convert to fraction form
    415,681.70/623,706.15 = 202,331.30/x
  3. Step 3: Cross multiply
    415,681.70x = 623,706.15 × 202,331.30
  4. Step 4: Simplify right side
    415,681.70x = 126,195,276,147.50
  5. Step 5: Solve for x
    x = 126,195,276,147.50/415,681.70
  6. Step 6: Final answer
    x = 303,586.32

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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.