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Finding the Fourth Proportional to 532,824.52, 735,348.70 and 291,143.84

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Solution

The fourth proportional to 532,824.52, 735,348.70 and 291,143.84 is: 401,806.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    532,824.52 : 735,348.70 = 291,143.84 : x
  2. Step 2: Convert to fraction form
    532,824.52/735,348.70 = 291,143.84/x
  3. Step 3: Cross multiply
    532,824.52x = 735,348.70 × 291,143.84
  4. Step 4: Simplify right side
    532,824.52x = 214,092,244,257.01
  5. Step 5: Solve for x
    x = 214,092,244,257.01/532,824.52
  6. Step 6: Final answer
    x = 401,806.29

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.