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Finding the Fourth Proportional to 443,009.71, 664,853.55 and 229,952.17

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Solution

The fourth proportional to 443,009.71, 664,853.55 and 229,952.17 is: 345,104.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    443,009.71 : 664,853.55 = 229,952.17 : x
  2. Step 2: Convert to fraction form
    443,009.71/664,853.55 = 229,952.17/x
  3. Step 3: Cross multiply
    443,009.71x = 664,853.55 × 229,952.17
  4. Step 4: Simplify right side
    443,009.71x = 152,884,516,554.70
  5. Step 5: Solve for x
    x = 152,884,516,554.70/443,009.71
  6. Step 6: Final answer
    x = 345,104.21

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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.