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Finding the Fourth Proportional to 410,322.16, 616,565.67 and 220,922.56

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Solution

The fourth proportional to 410,322.16, 616,565.67 and 220,922.56 is: 331,966.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    410,322.16 : 616,565.67 = 220,922.56 : x
  2. Step 2: Convert to fraction form
    410,322.16/616,565.67 = 220,922.56/x
  3. Step 3: Cross multiply
    410,322.16x = 616,565.67 × 220,922.56
  4. Step 4: Simplify right side
    410,322.16x = 136,213,266,224.52
  5. Step 5: Solve for x
    x = 136,213,266,224.52/410,322.16
  6. Step 6: Final answer
    x = 331,966.63

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.