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Finding the Fourth Proportional to 416,750.16, 575,112.92 and 225,767.28

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Solution

The fourth proportional to 416,750.16, 575,112.92 and 225,767.28 is: 311,557.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    416,750.16 : 575,112.92 = 225,767.28 : x
  2. Step 2: Convert to fraction form
    416,750.16/575,112.92 = 225,767.28/x
  3. Step 3: Cross multiply
    416,750.16x = 575,112.92 × 225,767.28
  4. Step 4: Simplify right side
    416,750.16x = 129,841,679,641.26
  5. Step 5: Solve for x
    x = 129,841,679,641.26/416,750.16
  6. Step 6: Final answer
    x = 311,557.60

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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.