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Finding the Fourth Proportional to 230,964.80, 346,447.20 and 207,345.20

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Solution

The fourth proportional to 230,964.80, 346,447.20 and 207,345.20 is: 311,017.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,964.80 : 346,447.20 = 207,345.20 : x
  2. Step 2: Convert to fraction form
    230,964.80/346,447.20 = 207,345.20/x
  3. Step 3: Cross multiply
    230,964.80x = 346,447.20 × 207,345.20
  4. Step 4: Simplify right side
    230,964.80x = 71,834,163,973.44
  5. Step 5: Solve for x
    x = 71,834,163,973.44/230,964.80
  6. Step 6: Final answer
    x = 311,017.80

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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.