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Finding the Fourth Proportional to 288,979.12, 433,592.70 and 111,610.68

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Solution

The fourth proportional to 288,979.12, 433,592.70 and 111,610.68 is: 167,463.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,979.12 : 433,592.70 = 111,610.68 : x
  2. Step 2: Convert to fraction form
    288,979.12/433,592.70 = 111,610.68/x
  3. Step 3: Cross multiply
    288,979.12x = 433,592.70 × 111,610.68
  4. Step 4: Simplify right side
    288,979.12x = 48,393,576,090.04
  5. Step 5: Solve for x
    x = 48,393,576,090.04/288,979.12
  6. Step 6: Final answer
    x = 167,463.92

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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.