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Finding the Fourth Proportional to 416,259.63, 574,439.01 and 225,273.18

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Solution

The fourth proportional to 416,259.63, 574,439.01 and 225,273.18 is: 310,877.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    416,259.63 : 574,439.01 = 225,273.18 : x
  2. Step 2: Convert to fraction form
    416,259.63/574,439.01 = 225,273.18/x
  3. Step 3: Cross multiply
    416,259.63x = 574,439.01 × 225,273.18
  4. Step 4: Simplify right side
    416,259.63x = 129,405,702,498.75
  5. Step 5: Solve for x
    x = 129,405,702,498.75/416,259.63
  6. Step 6: Final answer
    x = 310,877.38

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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.