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Finding the Fourth Proportional to 320,641.20, 480,858.12 and 232,098.48

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Solution

The fourth proportional to 320,641.20, 480,858.12 and 232,098.48 is: 348,072.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    320,641.20 : 480,858.12 = 232,098.48 : x
  2. Step 2: Convert to fraction form
    320,641.20/480,858.12 = 232,098.48/x
  3. Step 3: Cross multiply
    320,641.20x = 480,858.12 × 232,098.48
  4. Step 4: Simplify right side
    320,641.20x = 111,606,438,747.66
  5. Step 5: Solve for x
    x = 111,606,438,747.66/320,641.20
  6. Step 6: Final answer
    x = 348,072.67

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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.