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Finding the Fourth Proportional to 416,430.92, 574,674.86 and 225,444.31

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Solution

The fourth proportional to 416,430.92, 574,674.86 and 225,444.31 is: 311,113.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    416,430.92 : 574,674.86 = 225,444.31 : x
  2. Step 2: Convert to fraction form
    416,430.92/574,674.86 = 225,444.31/x
  3. Step 3: Cross multiply
    416,430.92x = 574,674.86 × 225,444.31
  4. Step 4: Simplify right side
    416,430.92x = 129,557,177,287.05
  5. Step 5: Solve for x
    x = 129,557,177,287.05/416,430.92
  6. Step 6: Final answer
    x = 311,113.25

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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.