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Finding the Fourth Proportional to 567,141.71, 782,710.72 and 423,652.64

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Solution

The fourth proportional to 567,141.71, 782,710.72 and 423,652.64 is: 584,681.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    567,141.71 : 782,710.72 = 423,652.64 : x
  2. Step 2: Convert to fraction form
    567,141.71/782,710.72 = 423,652.64/x
  3. Step 3: Cross multiply
    567,141.71x = 782,710.72 × 423,652.64
  4. Step 4: Simplify right side
    567,141.71x = 331,597,463,781.95
  5. Step 5: Solve for x
    x = 331,597,463,781.95/567,141.71
  6. Step 6: Final answer
    x = 584,681.85

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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.