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Finding the Fourth Proportional to 307,534.10, 461,301.15 and 304,423.70

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Solution

The fourth proportional to 307,534.10, 461,301.15 and 304,423.70 is: 456,635.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    307,534.10 : 461,301.15 = 304,423.70 : x
  2. Step 2: Convert to fraction form
    307,534.10/461,301.15 = 304,423.70/x
  3. Step 3: Cross multiply
    307,534.10x = 461,301.15 × 304,423.70
  4. Step 4: Simplify right side
    307,534.10x = 140,431,002,897.26
  5. Step 5: Solve for x
    x = 140,431,002,897.26/307,534.10
  6. Step 6: Final answer
    x = 456,635.55

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.