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Finding the Fourth Proportional to 320,469.80, 442,230.32 and 175,246.76

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Solution

The fourth proportional to 320,469.80, 442,230.32 and 175,246.76 is: 241,830.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    320,469.80 : 442,230.32 = 175,246.76 : x
  2. Step 2: Convert to fraction form
    320,469.80/442,230.32 = 175,246.76/x
  3. Step 3: Cross multiply
    320,469.80x = 442,230.32 × 175,246.76
  4. Step 4: Simplify right side
    320,469.80x = 77,499,427,666.38
  5. Step 5: Solve for x
    x = 77,499,427,666.38/320,469.80
  6. Step 6: Final answer
    x = 241,830.68

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.