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Finding the Fourth Proportional to 498,324.60, 747,341.10 and 178,439.40

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Solution

The fourth proportional to 498,324.60, 747,341.10 and 178,439.40 is: 267,606.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    498,324.60 : 747,341.10 = 178,439.40 : x
  2. Step 2: Convert to fraction form
    498,324.60/747,341.10 = 178,439.40/x
  3. Step 3: Cross multiply
    498,324.60x = 747,341.10 × 178,439.40
  4. Step 4: Simplify right side
    498,324.60x = 133,355,097,479.34
  5. Step 5: Solve for x
    x = 133,355,097,479.34/498,324.60
  6. Step 6: Final answer
    x = 267,606.89

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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.