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Finding the Fourth Proportional to 463,436.87, 639,490.02 and 259,459.43

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Solution

The fourth proportional to 463,436.87, 639,490.02 and 259,459.43 is: 358,024.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    463,436.87 : 639,490.02 = 259,459.43 : x
  2. Step 2: Convert to fraction form
    463,436.87/639,490.02 = 259,459.43/x
  3. Step 3: Cross multiply
    463,436.87x = 639,490.02 × 259,459.43
  4. Step 4: Simplify right side
    463,436.87x = 165,921,716,079.89
  5. Step 5: Solve for x
    x = 165,921,716,079.89/463,436.87
  6. Step 6: Final answer
    x = 358,024.42

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.