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Finding the Fourth Proportional to 416,866.80, 575,276.70 and 225,880.16

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Solution

The fourth proportional to 416,866.80, 575,276.70 and 225,880.16 is: 311,714.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    416,866.80 : 575,276.70 = 225,880.16 : x
  2. Step 2: Convert to fraction form
    416,866.80/575,276.70 = 225,880.16/x
  3. Step 3: Cross multiply
    416,866.80x = 575,276.70 × 225,880.16
  4. Step 4: Simplify right side
    416,866.80x = 129,943,593,040.27
  5. Step 5: Solve for x
    x = 129,943,593,040.27/416,866.80
  6. Step 6: Final answer
    x = 311,714.90

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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.