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Finding the Fourth Proportional to 261,349.28, 391,712.88 and 150,308

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Solution

The fourth proportional to 261,349.28, 391,712.88 and 150,308 is: 225,283.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    261,349.28 : 391,712.88 = 150,308 : x
  2. Step 2: Convert to fraction form
    261,349.28/391,712.88 = 150,308/x
  3. Step 3: Cross multiply
    261,349.28x = 391,712.88 × 150,308
  4. Step 4: Simplify right side
    261,349.28x = 58,877,579,567.04
  5. Step 5: Solve for x
    x = 58,877,579,567.04/261,349.28
  6. Step 6: Final answer
    x = 225,283.11

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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.