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Finding the Fourth Proportional to 384,026.92, 575,862.11 and 224,149.02

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Solution

The fourth proportional to 384,026.92, 575,862.11 and 224,149.02 is: 336,119.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    384,026.92 : 575,862.11 = 224,149.02 : x
  2. Step 2: Convert to fraction form
    384,026.92/575,862.11 = 224,149.02/x
  3. Step 3: Cross multiply
    384,026.92x = 575,862.11 × 224,149.02
  4. Step 4: Simplify right side
    384,026.92x = 129,078,928,411.19
  5. Step 5: Solve for x
    x = 129,078,928,411.19/384,026.92
  6. Step 6: Final answer
    x = 336,119.48

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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.