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Finding the Fourth Proportional to 296,287.88, 444,326.65 and 106,697.34

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Solution

The fourth proportional to 296,287.88, 444,326.65 and 106,697.34 is: 160,008.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,287.88 : 444,326.65 = 106,697.34 : x
  2. Step 2: Convert to fraction form
    296,287.88/444,326.65 = 106,697.34/x
  3. Step 3: Cross multiply
    296,287.88x = 444,326.65 × 106,697.34
  4. Step 4: Simplify right side
    296,287.88x = 47,408,471,379.37
  5. Step 5: Solve for x
    x = 47,408,471,379.37/296,287.88
  6. Step 6: Final answer
    x = 160,008.14

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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.