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Finding the Fourth Proportional to 416,065.74, 574,168.76 and 225,077.46

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Solution

The fourth proportional to 416,065.74, 574,168.76 and 225,077.46 is: 310,605.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    416,065.74 : 574,168.76 = 225,077.46 : x
  2. Step 2: Convert to fraction form
    416,065.74/574,168.76 = 225,077.46/x
  3. Step 3: Cross multiply
    416,065.74x = 574,168.76 × 225,077.46
  4. Step 4: Simplify right side
    416,065.74x = 129,232,446,112.15
  5. Step 5: Solve for x
    x = 129,232,446,112.15/416,065.74
  6. Step 6: Final answer
    x = 310,605.83

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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.