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Finding the Fourth Proportional to 385,227.06, 577,315.71 and 185,532.90

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Solution

The fourth proportional to 385,227.06, 577,315.71 and 185,532.90 is: 278,046.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    385,227.06 : 577,315.71 = 185,532.90 : x
  2. Step 2: Convert to fraction form
    385,227.06/577,315.71 = 185,532.90/x
  3. Step 3: Cross multiply
    385,227.06x = 577,315.71 × 185,532.90
  4. Step 4: Simplify right side
    385,227.06x = 107,111,057,891.86
  5. Step 5: Solve for x
    x = 107,111,057,891.86/385,227.06
  6. Step 6: Final answer
    x = 278,046.56

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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.