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Finding the Fourth Proportional to 457,580.22, 686,370.33 and 158,068.14

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Solution

The fourth proportional to 457,580.22, 686,370.33 and 158,068.14 is: 237,102.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    457,580.22 : 686,370.33 = 158,068.14 : x
  2. Step 2: Convert to fraction form
    457,580.22/686,370.33 = 158,068.14/x
  3. Step 3: Cross multiply
    457,580.22x = 686,370.33 × 158,068.14
  4. Step 4: Simplify right side
    457,580.22x = 108,493,281,414.29
  5. Step 5: Solve for x
    x = 108,493,281,414.29/457,580.22
  6. Step 6: Final answer
    x = 237,102.21

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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.