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Finding the Fourth Proportional to 463,263.68, 639,314.71 and 259,309.53

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Solution

The fourth proportional to 463,263.68, 639,314.71 and 259,309.53 is: 357,853.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    463,263.68 : 639,314.71 = 259,309.53 : x
  2. Step 2: Convert to fraction form
    463,263.68/639,314.71 = 259,309.53/x
  3. Step 3: Cross multiply
    463,263.68x = 639,314.71 × 259,309.53
  4. Step 4: Simplify right side
    463,263.68x = 165,780,396,323.91
  5. Step 5: Solve for x
    x = 165,780,396,323.91/463,263.68
  6. Step 6: Final answer
    x = 357,853.21

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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.