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Finding the Fourth Proportional to 458,700.42, 687,778.10 and 174,411.76

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Solution

The fourth proportional to 458,700.42, 687,778.10 and 174,411.76 is: 261,514.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    458,700.42 : 687,778.10 = 174,411.76 : x
  2. Step 2: Convert to fraction form
    458,700.42/687,778.10 = 174,411.76/x
  3. Step 3: Cross multiply
    458,700.42x = 687,778.10 × 174,411.76
  4. Step 4: Simplify right side
    458,700.42x = 119,956,588,910.46
  5. Step 5: Solve for x
    x = 119,956,588,910.46/458,700.42
  6. Step 6: Final answer
    x = 261,514.02

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.