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Finding the Fourth Proportional to 417,097.80, 625,646.70 and 136,643.40

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Solution

The fourth proportional to 417,097.80, 625,646.70 and 136,643.40 is: 204,965.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    417,097.80 : 625,646.70 = 136,643.40 : x
  2. Step 2: Convert to fraction form
    417,097.80/625,646.70 = 136,643.40/x
  3. Step 3: Cross multiply
    417,097.80x = 625,646.70 × 136,643.40
  4. Step 4: Simplify right side
    417,097.80x = 85,490,492,286.78
  5. Step 5: Solve for x
    x = 85,490,492,286.78/417,097.80
  6. Step 6: Final answer
    x = 204,965.10

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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.