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Finding the Fourth Proportional to 411,226.76, 616,757.52 and 144,998.12

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Solution

The fourth proportional to 411,226.76, 616,757.52 and 144,998.12 is: 217,468.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    411,226.76 : 616,757.52 = 144,998.12 : x
  2. Step 2: Convert to fraction form
    411,226.76/616,757.52 = 144,998.12/x
  3. Step 3: Cross multiply
    411,226.76x = 616,757.52 × 144,998.12
  4. Step 4: Simplify right side
    411,226.76x = 89,428,680,895.86
  5. Step 5: Solve for x
    x = 89,428,680,895.86/411,226.76
  6. Step 6: Final answer
    x = 217,468.05

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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.