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Finding the Fourth Proportional to 416,430.50, 574,674.18 and 225,445.46

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Solution

The fourth proportional to 416,430.50, 574,674.18 and 225,445.46 is: 311,114.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    416,430.50 : 574,674.18 = 225,445.46 : x
  2. Step 2: Convert to fraction form
    416,430.50/574,674.18 = 225,445.46/x
  3. Step 3: Cross multiply
    416,430.50x = 574,674.18 × 225,445.46
  4. Step 4: Simplify right side
    416,430.50x = 129,557,684,860.22
  5. Step 5: Solve for x
    x = 129,557,684,860.22/416,430.50
  6. Step 6: Final answer
    x = 311,114.78

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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.