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Finding the Fourth Proportional to 458,686.74, 687,757.53 and 174,398.10

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Solution

The fourth proportional to 458,686.74, 687,757.53 and 174,398.10 is: 261,493.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    458,686.74 : 687,757.53 = 174,398.10 : x
  2. Step 2: Convert to fraction form
    458,686.74/687,757.53 = 174,398.10/x
  3. Step 3: Cross multiply
    458,686.74x = 687,757.53 × 174,398.10
  4. Step 4: Simplify right side
    458,686.74x = 119,943,606,492.69
  5. Step 5: Solve for x
    x = 119,943,606,492.69/458,686.74
  6. Step 6: Final answer
    x = 261,493.51

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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.