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Finding the Fourth Proportional to 295,521.40, 442,658.10 and 195,729.40

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Solution

The fourth proportional to 295,521.40, 442,658.10 and 195,729.40 is: 293,180.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,521.40 : 442,658.10 = 195,729.40 : x
  2. Step 2: Convert to fraction form
    295,521.40/442,658.10 = 195,729.40/x
  3. Step 3: Cross multiply
    295,521.40x = 442,658.10 × 195,729.40
  4. Step 4: Simplify right side
    295,521.40x = 86,641,204,318.14
  5. Step 5: Solve for x
    x = 86,641,204,318.14/295,521.40
  6. Step 6: Final answer
    x = 293,180.81

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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.