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Finding the Fourth Proportional to 416,143.48, 574,273.92 and 225,152.68

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Solution

The fourth proportional to 416,143.48, 574,273.92 and 225,152.68 is: 310,708.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    416,143.48 : 574,273.92 = 225,152.68 : x
  2. Step 2: Convert to fraction form
    416,143.48/574,273.92 = 225,152.68/x
  3. Step 3: Cross multiply
    416,143.48x = 574,273.92 × 225,152.68
  4. Step 4: Simplify right side
    416,143.48x = 129,299,312,142.11
  5. Step 5: Solve for x
    x = 129,299,312,142.11/416,143.48
  6. Step 6: Final answer
    x = 310,708.49

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1.5x scale

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.