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Finding the Fourth Proportional to 295,201.20, 442,145.70 and 242,713.20

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Solution

The fourth proportional to 295,201.20, 442,145.70 and 242,713.20 is: 363,530.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,201.20 : 442,145.70 = 242,713.20 : x
  2. Step 2: Convert to fraction form
    295,201.20/442,145.70 = 242,713.20/x
  3. Step 3: Cross multiply
    295,201.20x = 442,145.70 × 242,713.20
  4. Step 4: Simplify right side
    295,201.20x = 107,314,597,713.24
  5. Step 5: Solve for x
    x = 107,314,597,713.24/295,201.20
  6. Step 6: Final answer
    x = 363,530.36

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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.