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Finding the Fourth Proportional to 321,895.29, 482,853.06 and 153,433.92

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Solution

The fourth proportional to 321,895.29, 482,853.06 and 153,433.92 is: 230,155.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    321,895.29 : 482,853.06 = 153,433.92 : x
  2. Step 2: Convert to fraction form
    321,895.29/482,853.06 = 153,433.92/x
  3. Step 3: Cross multiply
    321,895.29x = 482,853.06 × 153,433.92
  4. Step 4: Simplify right side
    321,895.29x = 74,086,037,779.80
  5. Step 5: Solve for x
    x = 74,086,037,779.80/321,895.29
  6. Step 6: Final answer
    x = 230,155.71

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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.