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Finding the Fourth Proportional to 457,580.72, 686,371.08 and 158,068.64

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Solution

The fourth proportional to 457,580.72, 686,371.08 and 158,068.64 is: 237,102.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    457,580.72 : 686,371.08 = 158,068.64 : x
  2. Step 2: Convert to fraction form
    457,580.72/686,371.08 = 158,068.64/x
  3. Step 3: Cross multiply
    457,580.72x = 686,371.08 × 158,068.64
  4. Step 4: Simplify right side
    457,580.72x = 108,493,743,150.93
  5. Step 5: Solve for x
    x = 108,493,743,150.93/457,580.72
  6. Step 6: Final answer
    x = 237,102.96

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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.