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Finding the Fourth Proportional to 472,076.70, 709,497.45 and 411,251.10

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Solution

The fourth proportional to 472,076.70, 709,497.45 and 411,251.10 is: 618,080.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    472,076.70 : 709,497.45 = 411,251.10 : x
  2. Step 2: Convert to fraction form
    472,076.70/709,497.45 = 411,251.10/x
  3. Step 3: Cross multiply
    472,076.70x = 709,497.45 × 411,251.10
  4. Step 4: Simplify right side
    472,076.70x = 291,781,606,759.70
  5. Step 5: Solve for x
    x = 291,781,606,759.70/472,076.70
  6. Step 6: Final answer
    x = 618,080.93

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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.