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Finding the Fourth Proportional to 416,736.80, 575,099.50 and 225,750.06

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Solution

The fourth proportional to 416,736.80, 575,099.50 and 225,750.06 is: 311,536.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    416,736.80 : 575,099.50 = 225,750.06 : x
  2. Step 2: Convert to fraction form
    416,736.80/575,099.50 = 225,750.06/x
  3. Step 3: Cross multiply
    416,736.80x = 575,099.50 × 225,750.06
  4. Step 4: Simplify right side
    416,736.80x = 129,828,746,630.97
  5. Step 5: Solve for x
    x = 129,828,746,630.97/416,736.80
  6. Step 6: Final answer
    x = 311,536.55

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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.