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Finding the Fourth Proportional to 443,008.71, 664,852.05 and 229,951.17

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Solution

The fourth proportional to 443,008.71, 664,852.05 and 229,951.17 is: 345,102.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    443,008.71 : 664,852.05 = 229,951.17 : x
  2. Step 2: Convert to fraction form
    443,008.71/664,852.05 = 229,951.17/x
  3. Step 3: Cross multiply
    443,008.71x = 664,852.05 × 229,951.17
  4. Step 4: Simplify right side
    443,008.71x = 152,883,506,774.40
  5. Step 5: Solve for x
    x = 152,883,506,774.40/443,008.71
  6. Step 6: Final answer
    x = 345,102.71

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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.