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Finding the Fourth Proportional to 416,875.49, 575,290.17 and 225,889.23

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Solution

The fourth proportional to 416,875.49, 575,290.17 and 225,889.23 is: 311,728.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    416,875.49 : 575,290.17 = 225,889.23 : x
  2. Step 2: Convert to fraction form
    416,875.49/575,290.17 = 225,889.23/x
  3. Step 3: Cross multiply
    416,875.49x = 575,290.17 × 225,889.23
  4. Step 4: Simplify right side
    416,875.49x = 129,951,853,527.87
  5. Step 5: Solve for x
    x = 129,951,853,527.87/416,875.49
  6. Step 6: Final answer
    x = 311,728.22

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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.