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Finding the Fourth Proportional to 280,283.98, 386,800.89 and 159,422.16

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Solution

The fourth proportional to 280,283.98, 386,800.89 and 159,422.16 is: 220,007.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,283.98 : 386,800.89 = 159,422.16 : x
  2. Step 2: Convert to fraction form
    280,283.98/386,800.89 = 159,422.16/x
  3. Step 3: Cross multiply
    280,283.98x = 386,800.89 × 159,422.16
  4. Step 4: Simplify right side
    280,283.98x = 61,664,633,373.72
  5. Step 5: Solve for x
    x = 61,664,633,373.72/280,283.98
  6. Step 6: Final answer
    x = 220,007.70

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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.