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Finding the Fourth Proportional to 242,964.30, 364,446.45 and 219,344.70

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Solution

The fourth proportional to 242,964.30, 364,446.45 and 219,344.70 is: 329,017.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,964.30 : 364,446.45 = 219,344.70 : x
  2. Step 2: Convert to fraction form
    242,964.30/364,446.45 = 219,344.70/x
  3. Step 3: Cross multiply
    242,964.30x = 364,446.45 × 219,344.70
  4. Step 4: Simplify right side
    242,964.30x = 79,939,397,241.32
  5. Step 5: Solve for x
    x = 79,939,397,241.32/242,964.30
  6. Step 6: Final answer
    x = 329,017.05

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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.