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Finding the Fourth Proportional to 441,226.88, 661,708.80 and 160,678.52

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Solution

The fourth proportional to 441,226.88, 661,708.80 and 160,678.52 is: 240,969.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    441,226.88 : 661,708.80 = 160,678.52 : x
  2. Step 2: Convert to fraction form
    441,226.88/661,708.80 = 160,678.52/x
  3. Step 3: Cross multiply
    441,226.88x = 661,708.80 × 160,678.52
  4. Step 4: Simplify right side
    441,226.88x = 106,322,390,654.98
  5. Step 5: Solve for x
    x = 106,322,390,654.98/441,226.88
  6. Step 6: Final answer
    x = 240,969.89

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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.