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Finding the Fourth Proportional to 416,260.68, 574,439.70 and 225,274.11

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Solution

The fourth proportional to 416,260.68, 574,439.70 and 225,274.11 is: 310,878.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    416,260.68 : 574,439.70 = 225,274.11 : x
  2. Step 2: Convert to fraction form
    416,260.68/574,439.70 = 225,274.11/x
  3. Step 3: Cross multiply
    416,260.68x = 574,439.70 × 225,274.11
  4. Step 4: Simplify right side
    416,260.68x = 129,406,392,166.17
  5. Step 5: Solve for x
    x = 129,406,392,166.17/416,260.68
  6. Step 6: Final answer
    x = 310,878.25

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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.