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Finding the Fourth Proportional to 498,411.46, 747,627.76 and 178,584.16

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Solution

The fourth proportional to 498,411.46, 747,627.76 and 178,584.16 is: 267,880.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    498,411.46 : 747,627.76 = 178,584.16 : x
  2. Step 2: Convert to fraction form
    498,411.46/747,627.76 = 178,584.16/x
  3. Step 3: Cross multiply
    498,411.46x = 747,627.76 × 178,584.16
  4. Step 4: Simplify right side
    498,411.46x = 133,514,475,512.28
  5. Step 5: Solve for x
    x = 133,514,475,512.28/498,411.46
  6. Step 6: Final answer
    x = 267,880.03

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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.