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Finding the Fourth Proportional to 416,744.42, 575,106.78 and 225,758.60

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Solution

The fourth proportional to 416,744.42, 575,106.78 and 225,758.60 is: 311,546.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    416,744.42 : 575,106.78 = 225,758.60 : x
  2. Step 2: Convert to fraction form
    416,744.42/575,106.78 = 225,758.60/x
  3. Step 3: Cross multiply
    416,744.42x = 575,106.78 × 225,758.60
  4. Step 4: Simplify right side
    416,744.42x = 129,835,301,503.31
  5. Step 5: Solve for x
    x = 129,835,301,503.31/416,744.42
  6. Step 6: Final answer
    x = 311,546.59

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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.