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Finding the Fourth Proportional to 282,443.52, 423,571.20 and 113,920.32

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Solution

The fourth proportional to 282,443.52, 423,571.20 and 113,920.32 is: 170,842.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,443.52 : 423,571.20 = 113,920.32 : x
  2. Step 2: Convert to fraction form
    282,443.52/423,571.20 = 113,920.32/x
  3. Step 3: Cross multiply
    282,443.52x = 423,571.20 × 113,920.32
  4. Step 4: Simplify right side
    282,443.52x = 48,253,366,646.78
  5. Step 5: Solve for x
    x = 48,253,366,646.78/282,443.52
  6. Step 6: Final answer
    x = 170,842.53

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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.