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Finding the Fourth Proportional to 269,402.64, 404,261.50 and 149,560.50

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Solution

The fourth proportional to 269,402.64, 404,261.50 and 149,560.50 is: 224,428.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    269,402.64 : 404,261.50 = 149,560.50 : x
  2. Step 2: Convert to fraction form
    269,402.64/404,261.50 = 149,560.50/x
  3. Step 3: Cross multiply
    269,402.64x = 404,261.50 × 149,560.50
  4. Step 4: Simplify right side
    269,402.64x = 60,461,552,070.75
  5. Step 5: Solve for x
    x = 60,461,552,070.75/269,402.64
  6. Step 6: Final answer
    x = 224,428.21

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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.