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Finding the Fourth Proportional to 296,011.97, 443,981.02 and 174,502.25

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Solution

The fourth proportional to 296,011.97, 443,981.02 and 174,502.25 is: 261,731.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,011.97 : 443,981.02 = 174,502.25 : x
  2. Step 2: Convert to fraction form
    296,011.97/443,981.02 = 174,502.25/x
  3. Step 3: Cross multiply
    296,011.97x = 443,981.02 × 174,502.25
  4. Step 4: Simplify right side
    296,011.97x = 77,475,686,074.78
  5. Step 5: Solve for x
    x = 77,475,686,074.78/296,011.97
  6. Step 6: Final answer
    x = 261,731.60

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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.