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Finding the Fourth Proportional to 381,697.80, 572,765.40 and 145,210.20

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Solution

The fourth proportional to 381,697.80, 572,765.40 and 145,210.20 is: 217,898.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    381,697.80 : 572,765.40 = 145,210.20 : x
  2. Step 2: Convert to fraction form
    381,697.80/572,765.40 = 145,210.20/x
  3. Step 3: Cross multiply
    381,697.80x = 572,765.40 × 145,210.20
  4. Step 4: Simplify right side
    381,697.80x = 83,171,378,287.08
  5. Step 5: Solve for x
    x = 83,171,378,287.08/381,697.80
  6. Step 6: Final answer
    x = 217,898.50

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.