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Finding the Fourth Proportional to 381,016.10, 532,722.70 and 381,016.10

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Solution

The fourth proportional to 381,016.10, 532,722.70 and 381,016.10 is: 532,722.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    381,016.10 : 532,722.70 = 381,016.10 : x
  2. Step 2: Convert to fraction form
    381,016.10/532,722.70 = 381,016.10/x
  3. Step 3: Cross multiply
    381,016.10x = 532,722.70 × 381,016.10
  4. Step 4: Simplify right side
    381,016.10x = 202,975,925,535.47
  5. Step 5: Solve for x
    x = 202,975,925,535.47/381,016.10
  6. Step 6: Final answer
    x = 532,722.70

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.