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Finding the Fourth Proportional to 567,141.53, 782,710.46 and 423,652.46

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Solution

The fourth proportional to 567,141.53, 782,710.46 and 423,652.46 is: 584,681.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    567,141.53 : 782,710.46 = 423,652.46 : x
  2. Step 2: Convert to fraction form
    567,141.53/782,710.46 = 423,652.46/x
  3. Step 3: Cross multiply
    567,141.53x = 782,710.46 × 423,652.46
  4. Step 4: Simplify right side
    567,141.53x = 331,597,207,403.61
  5. Step 5: Solve for x
    x = 331,597,207,403.61/567,141.53
  6. Step 6: Final answer
    x = 584,681.59

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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.