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Finding the Fourth Proportional to 386,182.20, 578,927.70 and 149,446.20

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Solution

The fourth proportional to 386,182.20, 578,927.70 and 149,446.20 is: 224,035.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    386,182.20 : 578,927.70 = 149,446.20 : x
  2. Step 2: Convert to fraction form
    386,182.20/578,927.70 = 149,446.20/x
  3. Step 3: Cross multiply
    386,182.20x = 578,927.70 × 149,446.20
  4. Step 4: Simplify right side
    386,182.20x = 86,518,544,839.74
  5. Step 5: Solve for x
    x = 86,518,544,839.74/386,182.20
  6. Step 6: Final answer
    x = 224,035.56

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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.