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Finding the Fourth Proportional to 416,894.40, 575,314.83 and 225,907.65

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Solution

The fourth proportional to 416,894.40, 575,314.83 and 225,907.65 is: 311,752.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    416,894.40 : 575,314.83 = 225,907.65 : x
  2. Step 2: Convert to fraction form
    416,894.40/575,314.83 = 225,907.65/x
  3. Step 3: Cross multiply
    416,894.40x = 575,314.83 × 225,907.65
  4. Step 4: Simplify right side
    416,894.40x = 129,968,021,255.45
  5. Step 5: Solve for x
    x = 129,968,021,255.45/416,894.40
  6. Step 6: Final answer
    x = 311,752.86

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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.