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Finding the Fourth Proportional to 564,884.60, 847,470.32 and 261,497.48

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Solution

The fourth proportional to 564,884.60, 847,470.32 and 261,497.48 is: 392,312.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    564,884.60 : 847,470.32 = 261,497.48 : x
  2. Step 2: Convert to fraction form
    564,884.60/847,470.32 = 261,497.48/x
  3. Step 3: Cross multiply
    564,884.60x = 847,470.32 × 261,497.48
  4. Step 4: Simplify right side
    564,884.60x = 221,611,351,668.58
  5. Step 5: Solve for x
    x = 221,611,351,668.58/564,884.60
  6. Step 6: Final answer
    x = 392,312.61

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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.