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Finding the Fourth Proportional to 381,715.12, 572,528.94 and 101,254.24

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Solution

The fourth proportional to 381,715.12, 572,528.94 and 101,254.24 is: 151,869.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    381,715.12 : 572,528.94 = 101,254.24 : x
  2. Step 2: Convert to fraction form
    381,715.12/572,528.94 = 101,254.24/x
  3. Step 3: Cross multiply
    381,715.12x = 572,528.94 × 101,254.24
  4. Step 4: Simplify right side
    381,715.12x = 57,970,982,697.71
  5. Step 5: Solve for x
    x = 57,970,982,697.71/381,715.12
  6. Step 6: Final answer
    x = 151,869.76

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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.