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Finding the Fourth Proportional to 416,100.94, 574,223.45 and 225,118.43

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Solution

The fourth proportional to 416,100.94, 574,223.45 and 225,118.43 is: 310,665.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    416,100.94 : 574,223.45 = 225,118.43 : x
  2. Step 2: Convert to fraction form
    416,100.94/574,223.45 = 225,118.43/x
  3. Step 3: Cross multiply
    416,100.94x = 574,223.45 × 225,118.43
  4. Step 4: Simplify right side
    416,100.94x = 129,268,279,689.81
  5. Step 5: Solve for x
    x = 129,268,279,689.81/416,100.94
  6. Step 6: Final answer
    x = 310,665.68

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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.