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Finding the Fourth Proportional to 416,430.42, 574,674.17 and 225,443.81

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Solution

The fourth proportional to 416,430.42, 574,674.17 and 225,443.81 is: 311,112.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    416,430.42 : 574,674.17 = 225,443.81 : x
  2. Step 2: Convert to fraction form
    416,430.42/574,674.17 = 225,443.81/x
  3. Step 3: Cross multiply
    416,430.42x = 574,674.17 × 225,443.81
  4. Step 4: Simplify right side
    416,430.42x = 129,556,730,392.80
  5. Step 5: Solve for x
    x = 129,556,730,392.80/416,430.42
  6. Step 6: Final answer
    x = 311,112.55

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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.