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Finding the Fourth Proportional to 296,046.71, 408,546.77 and 163,443.65

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Solution

The fourth proportional to 296,046.71, 408,546.77 and 163,443.65 is: 225,553.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,046.71 : 408,546.77 = 163,443.65 : x
  2. Step 2: Convert to fraction form
    296,046.71/408,546.77 = 163,443.65/x
  3. Step 3: Cross multiply
    296,046.71x = 408,546.77 × 163,443.65
  4. Step 4: Simplify right side
    296,046.71x = 66,774,375,284.51
  5. Step 5: Solve for x
    x = 66,774,375,284.51/296,046.71
  6. Step 6: Final answer
    x = 225,553.51

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1.5x scale

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.