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Finding the Fourth Proportional to 242,964.80, 364,447.20 and 219,345.20

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Solution

The fourth proportional to 242,964.80, 364,447.20 and 219,345.20 is: 329,017.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,964.80 : 364,447.20 = 219,345.20 : x
  2. Step 2: Convert to fraction form
    242,964.80/364,447.20 = 219,345.20/x
  3. Step 3: Cross multiply
    242,964.80x = 364,447.20 × 219,345.20
  4. Step 4: Simplify right side
    242,964.80x = 79,939,743,973.44
  5. Step 5: Solve for x
    x = 79,939,743,973.44/242,964.80
  6. Step 6: Final answer
    x = 329,017.80

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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.