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Finding the Fourth Proportional to 437,382.88, 654,592.97 and 269,009.87

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Solution

The fourth proportional to 437,382.88, 654,592.97 and 269,009.87 is: 402,603.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    437,382.88 : 654,592.97 = 269,009.87 : x
  2. Step 2: Convert to fraction form
    437,382.88/654,592.97 = 269,009.87/x
  3. Step 3: Cross multiply
    437,382.88x = 654,592.97 × 269,009.87
  4. Step 4: Simplify right side
    437,382.88x = 176,091,967,162.17
  5. Step 5: Solve for x
    x = 176,091,967,162.17/437,382.88
  6. Step 6: Final answer
    x = 402,603.71

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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.