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Finding the Fourth Proportional to 432,097.08, 648,246.42 and 147,789.84

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Solution

The fourth proportional to 432,097.08, 648,246.42 and 147,789.84 is: 221,719.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    432,097.08 : 648,246.42 = 147,789.84 : x
  2. Step 2: Convert to fraction form
    432,097.08/648,246.42 = 147,789.84/x
  3. Step 3: Cross multiply
    432,097.08x = 648,246.42 × 147,789.84
  4. Step 4: Simplify right side
    432,097.08x = 95,804,234,692.37
  5. Step 5: Solve for x
    x = 95,804,234,692.37/432,097.08
  6. Step 6: Final answer
    x = 221,719.24

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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.