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Finding the Fourth Proportional to 458,354.90, 687,569.11 and 174,181.59

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Solution

The fourth proportional to 458,354.90, 687,569.11 and 174,181.59 is: 261,286.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    458,354.90 : 687,569.11 = 174,181.59 : x
  2. Step 2: Convert to fraction form
    458,354.90/687,569.11 = 174,181.59/x
  3. Step 3: Cross multiply
    458,354.90x = 687,569.11 × 174,181.59
  4. Step 4: Simplify right side
    458,354.90x = 119,761,880,379.23
  5. Step 5: Solve for x
    x = 119,761,880,379.23/458,354.90
  6. Step 6: Final answer
    x = 261,286.35

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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.