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Finding the Fourth Proportional to 227,340.17, 341,035.77 and 185,575.76

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Solution

The fourth proportional to 227,340.17, 341,035.77 and 185,575.76 is: 278,384.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    227,340.17 : 341,035.77 = 185,575.76 : x
  2. Step 2: Convert to fraction form
    227,340.17/341,035.77 = 185,575.76/x
  3. Step 3: Cross multiply
    227,340.17x = 341,035.77 × 185,575.76
  4. Step 4: Simplify right side
    227,340.17x = 63,287,970,499.76
  5. Step 5: Solve for x
    x = 63,287,970,499.76/227,340.17
  6. Step 6: Final answer
    x = 278,384.47

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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.