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Finding the Fourth Proportional to 416,751, 575,116.86 and 225,765.72

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Solution

The fourth proportional to 416,751, 575,116.86 and 225,765.72 is: 311,556.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    416,751 : 575,116.86 = 225,765.72 : x
  2. Step 2: Convert to fraction form
    416,751/575,116.86 = 225,765.72/x
  3. Step 3: Cross multiply
    416,751x = 575,116.86 × 225,765.72
  4. Step 4: Simplify right side
    416,751x = 129,841,671,982.04
  5. Step 5: Solve for x
    x = 129,841,671,982.04/416,751
  6. Step 6: Final answer
    x = 311,556.95

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.