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Finding the Fourth Proportional to 416,717.58, 575,073.04 and 225,730.98

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Solution

The fourth proportional to 416,717.58, 575,073.04 and 225,730.98 is: 311,510.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    416,717.58 : 575,073.04 = 225,730.98 : x
  2. Step 2: Convert to fraction form
    416,717.58/575,073.04 = 225,730.98/x
  3. Step 3: Cross multiply
    416,717.58x = 575,073.04 × 225,730.98
  4. Step 4: Simplify right side
    416,717.58x = 129,811,800,890.78
  5. Step 5: Solve for x
    x = 129,811,800,890.78/416,717.58
  6. Step 6: Final answer
    x = 311,510.26

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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.