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Finding the Fourth Proportional to 284,000.71, 425,875.75 and 106,383.10

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Solution

The fourth proportional to 284,000.71, 425,875.75 and 106,383.10 is: 159,527.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,000.71 : 425,875.75 = 106,383.10 : x
  2. Step 2: Convert to fraction form
    284,000.71/425,875.75 = 106,383.10/x
  3. Step 3: Cross multiply
    284,000.71x = 425,875.75 × 106,383.10
  4. Step 4: Simplify right side
    284,000.71x = 45,305,982,499.83
  5. Step 5: Solve for x
    x = 45,305,982,499.83/284,000.71
  6. Step 6: Final answer
    x = 159,527.71

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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.