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Finding the Fourth Proportional to 306,803.20, 460,016.88 and 119,596

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Solution

The fourth proportional to 306,803.20, 460,016.88 and 119,596 is: 179,320.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,803.20 : 460,016.88 = 119,596 : x
  2. Step 2: Convert to fraction form
    306,803.20/460,016.88 = 119,596/x
  3. Step 3: Cross multiply
    306,803.20x = 460,016.88 × 119,596
  4. Step 4: Simplify right side
    306,803.20x = 55,016,178,780.48
  5. Step 5: Solve for x
    x = 55,016,178,780.48/306,803.20
  6. Step 6: Final answer
    x = 179,320.75

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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.