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Finding the Fourth Proportional to 463,115.16, 639,133.32 and 259,186.56

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Solution

The fourth proportional to 463,115.16, 639,133.32 and 259,186.56 is: 357,696.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    463,115.16 : 639,133.32 = 259,186.56 : x
  2. Step 2: Convert to fraction form
    463,115.16/639,133.32 = 259,186.56/x
  3. Step 3: Cross multiply
    463,115.16x = 639,133.32 × 259,186.56
  4. Step 4: Simplify right side
    463,115.16x = 165,654,766,592.18
  5. Step 5: Solve for x
    x = 165,654,766,592.18/463,115.16
  6. Step 6: Final answer
    x = 357,696.70

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Why These Related Problems?

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