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Finding the Fourth Proportional to 431,262.40, 645,338.40 and 291,294.40

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Solution

The fourth proportional to 431,262.40, 645,338.40 and 291,294.40 is: 435,891.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    431,262.40 : 645,338.40 = 291,294.40 : x
  2. Step 2: Convert to fraction form
    431,262.40/645,338.40 = 291,294.40/x
  3. Step 3: Cross multiply
    431,262.40x = 645,338.40 × 291,294.40
  4. Step 4: Simplify right side
    431,262.40x = 187,983,462,024.96
  5. Step 5: Solve for x
    x = 187,983,462,024.96/431,262.40
  6. Step 6: Final answer
    x = 435,891.15

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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.