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Finding the Fourth Proportional to 585,385.92, 878,083.20 and 164,704.32

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Solution

The fourth proportional to 585,385.92, 878,083.20 and 164,704.32 is: 247,057.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    585,385.92 : 878,083.20 = 164,704.32 : x
  2. Step 2: Convert to fraction form
    585,385.92/878,083.20 = 164,704.32/x
  3. Step 3: Cross multiply
    585,385.92x = 878,083.20 × 164,704.32
  4. Step 4: Simplify right side
    585,385.92x = 144,624,096,359.42
  5. Step 5: Solve for x
    x = 144,624,096,359.42/585,385.92
  6. Step 6: Final answer
    x = 247,057.70

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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.