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Finding the Fourth Proportional to 280,464.75, 420,697.13 and 83,472.75

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Solution

The fourth proportional to 280,464.75, 420,697.13 and 83,472.75 is: 125,209.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,464.75 : 420,697.13 = 83,472.75 : x
  2. Step 2: Convert to fraction form
    280,464.75/420,697.13 = 83,472.75/x
  3. Step 3: Cross multiply
    280,464.75x = 420,697.13 × 83,472.75
  4. Step 4: Simplify right side
    280,464.75x = 35,116,745,940.84
  5. Step 5: Solve for x
    x = 35,116,745,940.84/280,464.75
  6. Step 6: Final answer
    x = 125,209.13

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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.