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Finding the Fourth Proportional to 624,543.86, 861,872.64 and 338,063.84

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Solution

The fourth proportional to 624,543.86, 861,872.64 and 338,063.84 is: 466,529.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    624,543.86 : 861,872.64 = 338,063.84 : x
  2. Step 2: Convert to fraction form
    624,543.86/861,872.64 = 338,063.84/x
  3. Step 3: Cross multiply
    624,543.86x = 861,872.64 × 338,063.84
  4. Step 4: Simplify right side
    624,543.86x = 291,367,974,269.34
  5. Step 5: Solve for x
    x = 291,367,974,269.34/624,543.86
  6. Step 6: Final answer
    x = 466,529.24

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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.