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Finding the Fourth Proportional to 409,713.60, 614,656.80 and 172,934.40

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Solution

The fourth proportional to 409,713.60, 614,656.80 and 172,934.40 is: 259,438.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,713.60 : 614,656.80 = 172,934.40 : x
  2. Step 2: Convert to fraction form
    409,713.60/614,656.80 = 172,934.40/x
  3. Step 3: Cross multiply
    409,713.60x = 614,656.80 × 172,934.40
  4. Step 4: Simplify right side
    409,713.60x = 106,295,304,913.92
  5. Step 5: Solve for x
    x = 106,295,304,913.92/409,713.60
  6. Step 6: Final answer
    x = 259,438.07

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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.