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Finding the Fourth Proportional to 523,773.72, 722,869.02 and 294,331.32

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Solution

The fourth proportional to 523,773.72, 722,869.02 and 294,331.32 is: 406,211.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    523,773.72 : 722,869.02 = 294,331.32 : x
  2. Step 2: Convert to fraction form
    523,773.72/722,869.02 = 294,331.32/x
  3. Step 3: Cross multiply
    523,773.72x = 722,869.02 × 294,331.32
  4. Step 4: Simplify right side
    523,773.72x = 212,762,992,843.71
  5. Step 5: Solve for x
    x = 212,762,992,843.71/523,773.72
  6. Step 6: Final answer
    x = 406,211.66

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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.