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Finding the Fourth Proportional to 312,932.29, 469,482.69 and 161,046.63

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Solution

The fourth proportional to 312,932.29, 469,482.69 and 161,046.63 is: 241,613.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,932.29 : 469,482.69 = 161,046.63 : x
  2. Step 2: Convert to fraction form
    312,932.29/469,482.69 = 161,046.63/x
  3. Step 3: Cross multiply
    312,932.29x = 469,482.69 × 161,046.63
  4. Step 4: Simplify right side
    312,932.29x = 75,608,602,720.42
  5. Step 5: Solve for x
    x = 75,608,602,720.42/312,932.29
  6. Step 6: Final answer
    x = 241,613.30

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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.