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Finding the Fourth Proportional to 408,046.10, 571,731.10 and 408,046.10

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Solution

The fourth proportional to 408,046.10, 571,731.10 and 408,046.10 is: 571,731.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,046.10 : 571,731.10 = 408,046.10 : x
  2. Step 2: Convert to fraction form
    408,046.10/571,731.10 = 408,046.10/x
  3. Step 3: Cross multiply
    408,046.10x = 571,731.10 × 408,046.10
  4. Step 4: Simplify right side
    408,046.10x = 233,292,645,603.71
  5. Step 5: Solve for x
    x = 233,292,645,603.71/408,046.10
  6. Step 6: Final answer
    x = 571,731.10

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.