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Finding the Fourth Proportional to 542,997.69, 746,679.60 and 471,253.17

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Solution

The fourth proportional to 542,997.69, 746,679.60 and 471,253.17 is: 648,023.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    542,997.69 : 746,679.60 = 471,253.17 : x
  2. Step 2: Convert to fraction form
    542,997.69/746,679.60 = 471,253.17/x
  3. Step 3: Cross multiply
    542,997.69x = 746,679.60 × 471,253.17
  4. Step 4: Simplify right side
    542,997.69x = 351,875,128,474.33
  5. Step 5: Solve for x
    x = 351,875,128,474.33/542,997.69
  6. Step 6: Final answer
    x = 648,023.25

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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.