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Finding the Fourth Proportional to 416,758.07, 575,126.03 and 225,771.41

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Solution

The fourth proportional to 416,758.07, 575,126.03 and 225,771.41 is: 311,564.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    416,758.07 : 575,126.03 = 225,771.41 : x
  2. Step 2: Convert to fraction form
    416,758.07/575,126.03 = 225,771.41/x
  3. Step 3: Cross multiply
    416,758.07x = 575,126.03 × 225,771.41
  4. Step 4: Simplify right side
    416,758.07x = 129,847,015,029.76
  5. Step 5: Solve for x
    x = 129,847,015,029.76/416,758.07
  6. Step 6: Final answer
    x = 311,564.49

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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.