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Finding the Fourth Proportional to 712,231.50, 982,876.86 and 406,307.38

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Solution

The fourth proportional to 712,231.50, 982,876.86 and 406,307.38 is: 560,702.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    712,231.50 : 982,876.86 = 406,307.38 : x
  2. Step 2: Convert to fraction form
    712,231.50/982,876.86 = 406,307.38/x
  3. Step 3: Cross multiply
    712,231.50x = 982,876.86 × 406,307.38
  4. Step 4: Simplify right side
    712,231.50x = 399,350,121,849.23
  5. Step 5: Solve for x
    x = 399,350,121,849.23/712,231.50
  6. Step 6: Final answer
    x = 560,702.70

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.