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Finding the Fourth Proportional to 261,415.99, 391,624.07 and 176,760.66

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Solution

The fourth proportional to 261,415.99, 391,624.07 and 176,760.66 is: 264,802.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    261,415.99 : 391,624.07 = 176,760.66 : x
  2. Step 2: Convert to fraction form
    261,415.99/391,624.07 = 176,760.66/x
  3. Step 3: Cross multiply
    261,415.99x = 391,624.07 × 176,760.66
  4. Step 4: Simplify right side
    261,415.99x = 69,223,729,669.87
  5. Step 5: Solve for x
    x = 69,223,729,669.87/261,415.99
  6. Step 6: Final answer
    x = 264,802.97

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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.