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Finding the Fourth Proportional to 280,598.10, 420,959.35 and 80,902.91

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Solution

The fourth proportional to 280,598.10, 420,959.35 and 80,902.91 is: 121,372.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,598.10 : 420,959.35 = 80,902.91 : x
  2. Step 2: Convert to fraction form
    280,598.10/420,959.35 = 80,902.91/x
  3. Step 3: Cross multiply
    280,598.10x = 420,959.35 × 80,902.91
  4. Step 4: Simplify right side
    280,598.10x = 34,056,836,406.71
  5. Step 5: Solve for x
    x = 34,056,836,406.71/280,598.10
  6. Step 6: Final answer
    x = 121,372.30

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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.