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Finding the Fourth Proportional to 512,755.61, 707,617.02 and 283,327.74

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Solution

The fourth proportional to 512,755.61, 707,617.02 and 283,327.74 is: 391,000.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    512,755.61 : 707,617.02 = 283,327.74 : x
  2. Step 2: Convert to fraction form
    512,755.61/707,617.02 = 283,327.74/x
  3. Step 3: Cross multiply
    512,755.61x = 707,617.02 × 283,327.74
  4. Step 4: Simplify right side
    512,755.61x = 200,487,531,062.14
  5. Step 5: Solve for x
    x = 200,487,531,062.14/512,755.61
  6. Step 6: Final answer
    x = 391,000.17

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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.