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Finding the Fourth Proportional to 282,589.92, 423,819.12 and 105,180.48

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Solution

The fourth proportional to 282,589.92, 423,819.12 and 105,180.48 is: 157,746.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,589.92 : 423,819.12 = 105,180.48 : x
  2. Step 2: Convert to fraction form
    282,589.92/423,819.12 = 105,180.48/x
  3. Step 3: Cross multiply
    282,589.92x = 423,819.12 × 105,180.48
  4. Step 4: Simplify right side
    282,589.92x = 44,577,498,474.78
  5. Step 5: Solve for x
    x = 44,577,498,474.78/282,589.92
  6. Step 6: Final answer
    x = 157,746.24

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1.5x scale

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.