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Finding the Fourth Proportional to 416,259.06, 574,437.38 and 225,272.40

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Solution

The fourth proportional to 416,259.06, 574,437.38 and 225,272.40 is: 310,875.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    416,259.06 : 574,437.38 = 225,272.40 : x
  2. Step 2: Convert to fraction form
    416,259.06/574,437.38 = 225,272.40/x
  3. Step 3: Cross multiply
    416,259.06x = 574,437.38 × 225,272.40
  4. Step 4: Simplify right side
    416,259.06x = 129,404,887,242.31
  5. Step 5: Solve for x
    x = 129,404,887,242.31/416,259.06
  6. Step 6: Final answer
    x = 310,875.85

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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.