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Finding the Fourth Proportional to 469,354.80, 703,513.80 and 259,143.60

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Solution

The fourth proportional to 469,354.80, 703,513.80 and 259,143.60 is: 388,429.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    469,354.80 : 703,513.80 = 259,143.60 : x
  2. Step 2: Convert to fraction form
    469,354.80/703,513.80 = 259,143.60/x
  3. Step 3: Cross multiply
    469,354.80x = 703,513.80 × 259,143.60
  4. Step 4: Simplify right side
    469,354.80x = 182,311,098,781.68
  5. Step 5: Solve for x
    x = 182,311,098,781.68/469,354.80
  6. Step 6: Final answer
    x = 388,429.18

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Why These Related Problems?

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