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Finding the Fourth Proportional to 416,733.31, 575,094.66 and 225,746.56

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Solution

The fourth proportional to 416,733.31, 575,094.66 and 225,746.56 is: 311,531.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    416,733.31 : 575,094.66 = 225,746.56 : x
  2. Step 2: Convert to fraction form
    416,733.31/575,094.66 = 225,746.56/x
  3. Step 3: Cross multiply
    416,733.31x = 575,094.66 × 225,746.56
  4. Step 4: Simplify right side
    416,733.31x = 129,825,638,293.90
  5. Step 5: Solve for x
    x = 129,825,638,293.90/416,733.31
  6. Step 6: Final answer
    x = 311,531.71

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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.