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Finding the Fourth Proportional to 533,892.96, 736,772.32 and 292,175.52

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Solution

The fourth proportional to 533,892.96, 736,772.32 and 292,175.52 is: 403,202.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    533,892.96 : 736,772.32 = 292,175.52 : x
  2. Step 2: Convert to fraction form
    533,892.96/736,772.32 = 292,175.52/x
  3. Step 3: Cross multiply
    533,892.96x = 736,772.32 × 292,175.52
  4. Step 4: Simplify right side
    533,892.96x = 215,266,835,717.61
  5. Step 5: Solve for x
    x = 215,266,835,717.61/533,892.96
  6. Step 6: Final answer
    x = 403,202.24

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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.