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Finding the Fourth Proportional to 457,994.31, 631,582.11 and 421,789.74

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Solution

The fourth proportional to 457,994.31, 631,582.11 and 421,789.74 is: 581,655.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    457,994.31 : 631,582.11 = 421,789.74 : x
  2. Step 2: Convert to fraction form
    457,994.31/631,582.11 = 421,789.74/x
  3. Step 3: Cross multiply
    457,994.31x = 631,582.11 × 421,789.74
  4. Step 4: Simplify right side
    457,994.31x = 266,394,853,965.55
  5. Step 5: Solve for x
    x = 266,394,853,965.55/457,994.31
  6. Step 6: Final answer
    x = 581,655.38

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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.