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Finding the Fourth Proportional to 416,717.32, 575,072.68 and 225,730.72

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Solution

The fourth proportional to 416,717.32, 575,072.68 and 225,730.72 is: 311,509.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    416,717.32 : 575,072.68 = 225,730.72 : x
  2. Step 2: Convert to fraction form
    416,717.32/575,072.68 = 225,730.72/x
  3. Step 3: Cross multiply
    416,717.32x = 575,072.68 × 225,730.72
  4. Step 4: Simplify right side
    416,717.32x = 129,811,570,108.73
  5. Step 5: Solve for x
    x = 129,811,570,108.73/416,717.32
  6. Step 6: Final answer
    x = 311,509.90

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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.