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Finding the Fourth Proportional to 416,282.49, 574,470.16 and 225,296.03

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Solution

The fourth proportional to 416,282.49, 574,470.16 and 225,296.03 is: 310,908.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    416,282.49 : 574,470.16 = 225,296.03 : x
  2. Step 2: Convert to fraction form
    416,282.49/574,470.16 = 225,296.03/x
  3. Step 3: Cross multiply
    416,282.49x = 574,470.16 × 225,296.03
  4. Step 4: Simplify right side
    416,282.49x = 129,425,847,274.40
  5. Step 5: Solve for x
    x = 129,425,847,274.40/416,282.49
  6. Step 6: Final answer
    x = 310,908.70

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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.