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Finding the Fourth Proportional to 280,284.71, 386,801.95 and 159,422.89

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Solution

The fourth proportional to 280,284.71, 386,801.95 and 159,422.89 is: 220,008.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,284.71 : 386,801.95 = 159,422.89 : x
  2. Step 2: Convert to fraction form
    280,284.71/386,801.95 = 159,422.89/x
  3. Step 3: Cross multiply
    280,284.71x = 386,801.95 × 159,422.89
  4. Step 4: Simplify right side
    280,284.71x = 61,665,084,726.64
  5. Step 5: Solve for x
    x = 61,665,084,726.64/280,284.71
  6. Step 6: Final answer
    x = 220,008.74

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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.