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Finding the Fourth Proportional to 288,673.52, 432,964.80 and 96,546.49

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Solution

The fourth proportional to 288,673.52, 432,964.80 and 96,546.49 is: 144,804.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,673.52 : 432,964.80 = 96,546.49 : x
  2. Step 2: Convert to fraction form
    288,673.52/432,964.80 = 96,546.49/x
  3. Step 3: Cross multiply
    288,673.52x = 432,964.80 × 96,546.49
  4. Step 4: Simplify right side
    288,673.52x = 41,801,230,651.14
  5. Step 5: Solve for x
    x = 41,801,230,651.14/288,673.52
  6. Step 6: Final answer
    x = 144,804.52

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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.