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Finding the Fourth Proportional to 260,601.84, 359,631.92 and 147,422.16

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Solution

The fourth proportional to 260,601.84, 359,631.92 and 147,422.16 is: 203,443.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    260,601.84 : 359,631.92 = 147,422.16 : x
  2. Step 2: Convert to fraction form
    260,601.84/359,631.92 = 147,422.16/x
  3. Step 3: Cross multiply
    260,601.84x = 359,631.92 × 147,422.16
  4. Step 4: Simplify right side
    260,601.84x = 53,017,714,819.90
  5. Step 5: Solve for x
    x = 53,017,714,819.90/260,601.84
  6. Step 6: Final answer
    x = 203,443.36

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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.