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Finding the Fourth Proportional to 532,828.29, 799,223.97 and 133,472.49

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Solution

The fourth proportional to 532,828.29, 799,223.97 and 133,472.49 is: 200,204.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    532,828.29 : 799,223.97 = 133,472.49 : x
  2. Step 2: Convert to fraction form
    532,828.29/799,223.97 = 133,472.49/x
  3. Step 3: Cross multiply
    532,828.29x = 799,223.97 × 133,472.49
  4. Step 4: Simplify right side
    532,828.29x = 106,674,413,343.59
  5. Step 5: Solve for x
    x = 106,674,413,343.59/532,828.29
  6. Step 6: Final answer
    x = 200,204.11

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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.