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Finding the Fourth Proportional to 416,144.48, 574,275.30 and 225,153.68

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Solution

The fourth proportional to 416,144.48, 574,275.30 and 225,153.68 is: 310,709.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    416,144.48 : 574,275.30 = 225,153.68 : x
  2. Step 2: Convert to fraction form
    416,144.48/574,275.30 = 225,153.68/x
  3. Step 3: Cross multiply
    416,144.48x = 574,275.30 × 225,153.68
  4. Step 4: Simplify right side
    416,144.48x = 129,300,197,128.10
  5. Step 5: Solve for x
    x = 129,300,197,128.10/416,144.48
  6. Step 6: Final answer
    x = 310,709.87

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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.