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Finding the Fourth Proportional to 311,637.06, 467,566.83 and 101,275.74

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Solution

The fourth proportional to 311,637.06, 467,566.83 and 101,275.74 is: 151,949.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,637.06 : 467,566.83 = 101,275.74 : x
  2. Step 2: Convert to fraction form
    311,637.06/467,566.83 = 101,275.74/x
  3. Step 3: Cross multiply
    311,637.06x = 467,566.83 × 101,275.74
  4. Step 4: Simplify right side
    311,637.06x = 47,353,176,707.70
  5. Step 5: Solve for x
    x = 47,353,176,707.70/311,637.06
  6. Step 6: Final answer
    x = 151,949.76

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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.