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Finding the Fourth Proportional to 295,343.20, 442,358.70 and 242,855.20

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Solution

The fourth proportional to 295,343.20, 442,358.70 and 242,855.20 is: 363,743.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,343.20 : 442,358.70 = 242,855.20 : x
  2. Step 2: Convert to fraction form
    295,343.20/442,358.70 = 242,855.20/x
  3. Step 3: Cross multiply
    295,343.20x = 442,358.70 × 242,855.20
  4. Step 4: Simplify right side
    295,343.20x = 107,429,110,560.24
  5. Step 5: Solve for x
    x = 107,429,110,560.24/295,343.20
  6. Step 6: Final answer
    x = 363,743.30

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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.