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Finding the Fourth Proportional to 442,067.20, 663,187.20 and 175,782.40

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Solution

The fourth proportional to 442,067.20, 663,187.20 and 175,782.40 is: 263,707.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    442,067.20 : 663,187.20 = 175,782.40 : x
  2. Step 2: Convert to fraction form
    442,067.20/663,187.20 = 175,782.40/x
  3. Step 3: Cross multiply
    442,067.20x = 663,187.20 × 175,782.40
  4. Step 4: Simplify right side
    442,067.20x = 116,576,637,665.28
  5. Step 5: Solve for x
    x = 116,576,637,665.28/442,067.20
  6. Step 6: Final answer
    x = 263,707.96

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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.