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Finding the Fourth Proportional to 442,682.82, 663,953.46 and 158,320.27

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Solution

The fourth proportional to 442,682.82, 663,953.46 and 158,320.27 is: 237,455.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    442,682.82 : 663,953.46 = 158,320.27 : x
  2. Step 2: Convert to fraction form
    442,682.82/663,953.46 = 158,320.27/x
  3. Step 3: Cross multiply
    442,682.82x = 663,953.46 × 158,320.27
  4. Step 4: Simplify right side
    442,682.82x = 105,117,291,290.88
  5. Step 5: Solve for x
    x = 105,117,291,290.88/442,682.82
  6. Step 6: Final answer
    x = 237,455.10

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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.