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Finding the Fourth Proportional to 416,259.36, 574,436.16 and 225,272.96

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Solution

The fourth proportional to 416,259.36, 574,436.16 and 225,272.96 is: 310,875.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    416,259.36 : 574,436.16 = 225,272.96 : x
  2. Step 2: Convert to fraction form
    416,259.36/574,436.16 = 225,272.96/x
  3. Step 3: Cross multiply
    416,259.36x = 574,436.16 × 225,272.96
  4. Step 4: Simplify right side
    416,259.36x = 129,404,934,094.23
  5. Step 5: Solve for x
    x = 129,404,934,094.23/416,259.36
  6. Step 6: Final answer
    x = 310,875.73

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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.