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Finding the Fourth Proportional to 310,818.16, 466,227.20 and 205,612.56

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Solution

The fourth proportional to 310,818.16, 466,227.20 and 205,612.56 is: 308,418.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,818.16 : 466,227.20 = 205,612.56 : x
  2. Step 2: Convert to fraction form
    310,818.16/466,227.20 = 205,612.56/x
  3. Step 3: Cross multiply
    310,818.16x = 466,227.20 × 205,612.56
  4. Step 4: Simplify right side
    310,818.16x = 95,862,168,133.63
  5. Step 5: Solve for x
    x = 95,862,168,133.63/310,818.16
  6. Step 6: Final answer
    x = 308,418.81

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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.