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Finding the Fourth Proportional to 311,256.44, 467,030.44 and 153,398.78

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Solution

The fourth proportional to 311,256.44, 467,030.44 and 153,398.78 is: 230,170.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,256.44 : 467,030.44 = 153,398.78 : x
  2. Step 2: Convert to fraction form
    311,256.44/467,030.44 = 153,398.78/x
  3. Step 3: Cross multiply
    311,256.44x = 467,030.44 × 153,398.78
  4. Step 4: Simplify right side
    311,256.44x = 71,641,899,718.86
  5. Step 5: Solve for x
    x = 71,641,899,718.86/311,256.44
  6. Step 6: Final answer
    x = 230,170.02

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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.