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Finding the Fourth Proportional to 416,718.32, 575,074.06 and 225,731.72

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Solution

The fourth proportional to 416,718.32, 575,074.06 and 225,731.72 is: 311,511.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    416,718.32 : 575,074.06 = 225,731.72 : x
  2. Step 2: Convert to fraction form
    416,718.32/575,074.06 = 225,731.72/x
  3. Step 3: Cross multiply
    416,718.32x = 575,074.06 × 225,731.72
  4. Step 4: Simplify right side
    416,718.32x = 129,812,456,691.18
  5. Step 5: Solve for x
    x = 129,812,456,691.18/416,718.32
  6. Step 6: Final answer
    x = 311,511.28

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.