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Finding the Fourth Proportional to 458,104.08, 686,590.56 and 332,176.56

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Solution

The fourth proportional to 458,104.08, 686,590.56 and 332,176.56 is: 497,854.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    458,104.08 : 686,590.56 = 332,176.56 : x
  2. Step 2: Convert to fraction form
    458,104.08/686,590.56 = 332,176.56/x
  3. Step 3: Cross multiply
    458,104.08x = 686,590.56 × 332,176.56
  4. Step 4: Simplify right side
    458,104.08x = 228,069,290,349.27
  5. Step 5: Solve for x
    x = 228,069,290,349.27/458,104.08
  6. Step 6: Final answer
    x = 497,854.75

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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.