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Finding the Fourth Proportional to 567,142.00, 782,711.11 and 423,652.93

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Solution

The fourth proportional to 567,142.00, 782,711.11 and 423,652.93 is: 584,682.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    567,142.00 : 782,711.11 = 423,652.93 : x
  2. Step 2: Convert to fraction form
    567,142.00/782,711.11 = 423,652.93/x
  3. Step 3: Cross multiply
    567,142.00x = 782,711.11 × 423,652.93
  4. Step 4: Simplify right side
    567,142.00x = 331,597,852,079.14
  5. Step 5: Solve for x
    x = 331,597,852,079.14/567,142.00
  6. Step 6: Final answer
    x = 584,682.24

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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.