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Finding the Fourth Proportional to 312,382.40, 468,082.86 and 241,478.72

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Solution

The fourth proportional to 312,382.40, 468,082.86 and 241,478.72 is: 361,838.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,382.40 : 468,082.86 = 241,478.72 : x
  2. Step 2: Convert to fraction form
    312,382.40/468,082.86 = 241,478.72/x
  3. Step 3: Cross multiply
    312,382.40x = 468,082.86 × 241,478.72
  4. Step 4: Simplify right side
    312,382.40x = 113,032,049,886.74
  5. Step 5: Solve for x
    x = 113,032,049,886.74/312,382.40
  6. Step 6: Final answer
    x = 361,838.73

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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.