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Finding the Fourth Proportional to 403,397.20, 605,095.80 and 291,422.80

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Solution

The fourth proportional to 403,397.20, 605,095.80 and 291,422.80 is: 437,134.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    403,397.20 : 605,095.80 = 291,422.80 : x
  2. Step 2: Convert to fraction form
    403,397.20/605,095.80 = 291,422.80/x
  3. Step 3: Cross multiply
    403,397.20x = 605,095.80 × 291,422.80
  4. Step 4: Simplify right side
    403,397.20x = 176,338,712,304.24
  5. Step 5: Solve for x
    x = 176,338,712,304.24/403,397.20
  6. Step 6: Final answer
    x = 437,134.20

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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.