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Finding the Fourth Proportional to 534,908.75, 802,862.28 and 282,375.86

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Solution

The fourth proportional to 534,908.75, 802,862.28 and 282,375.86 is: 423,827.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    534,908.75 : 802,862.28 = 282,375.86 : x
  2. Step 2: Convert to fraction form
    534,908.75/802,862.28 = 282,375.86/x
  3. Step 3: Cross multiply
    534,908.75x = 802,862.28 × 282,375.86
  4. Step 4: Simplify right side
    534,908.75x = 226,708,922,762.25
  5. Step 5: Solve for x
    x = 226,708,922,762.25/534,908.75
  6. Step 6: Final answer
    x = 423,827.29

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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.