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Finding the Fourth Proportional to 463,079.19, 639,083.61 and 259,150.56

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Solution

The fourth proportional to 463,079.19, 639,083.61 and 259,150.56 is: 357,646.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    463,079.19 : 639,083.61 = 259,150.56 : x
  2. Step 2: Convert to fraction form
    463,079.19/639,083.61 = 259,150.56/x
  3. Step 3: Cross multiply
    463,079.19x = 639,083.61 × 259,150.56
  4. Step 4: Simplify right side
    463,079.19x = 165,618,875,418.32
  5. Step 5: Solve for x
    x = 165,618,875,418.32/463,079.19
  6. Step 6: Final answer
    x = 357,646.98

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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.