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Finding the Fourth Proportional to 284,017.52, 425,718.20 and 140,023.12

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Solution

The fourth proportional to 284,017.52, 425,718.20 and 140,023.12 is: 209,882.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,017.52 : 425,718.20 = 140,023.12 : x
  2. Step 2: Convert to fraction form
    284,017.52/425,718.20 = 140,023.12/x
  3. Step 3: Cross multiply
    284,017.52x = 425,718.20 × 140,023.12
  4. Step 4: Simplify right side
    284,017.52x = 59,610,390,604.78
  5. Step 5: Solve for x
    x = 59,610,390,604.78/284,017.52
  6. Step 6: Final answer
    x = 209,882.79

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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.