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Finding the Fourth Proportional to 306,472.97, 460,135.92 and 156,816.56

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Solution

The fourth proportional to 306,472.97, 460,135.92 and 156,816.56 is: 235,443.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,472.97 : 460,135.92 = 156,816.56 : x
  2. Step 2: Convert to fraction form
    306,472.97/460,135.92 = 156,816.56/x
  3. Step 3: Cross multiply
    306,472.97x = 460,135.92 × 156,816.56
  4. Step 4: Simplify right side
    306,472.97x = 72,156,932,106.84
  5. Step 5: Solve for x
    x = 72,156,932,106.84/306,472.97
  6. Step 6: Final answer
    x = 235,443.05

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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.