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Finding the Fourth Proportional to 567,141.90, 782,710.98 and 423,652.83

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Solution

The fourth proportional to 567,141.90, 782,710.98 and 423,652.83 is: 584,682.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    567,141.90 : 782,710.98 = 423,652.83 : x
  2. Step 2: Convert to fraction form
    567,141.90/782,710.98 = 423,652.83/x
  3. Step 3: Cross multiply
    567,141.90x = 782,710.98 × 423,652.83
  4. Step 4: Simplify right side
    567,141.90x = 331,597,720,160.38
  5. Step 5: Solve for x
    x = 331,597,720,160.38/567,141.90
  6. Step 6: Final answer
    x = 584,682.11

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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.