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Finding the Fourth Proportional to 309,265.24, 464,044.20 and 169,019.68

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Solution

The fourth proportional to 309,265.24, 464,044.20 and 169,019.68 is: 253,609.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    309,265.24 : 464,044.20 = 169,019.68 : x
  2. Step 2: Convert to fraction form
    309,265.24/464,044.20 = 169,019.68/x
  3. Step 3: Cross multiply
    309,265.24x = 464,044.20 × 169,019.68
  4. Step 4: Simplify right side
    309,265.24x = 78,432,602,189.86
  5. Step 5: Solve for x
    x = 78,432,602,189.86/309,265.24
  6. Step 6: Final answer
    x = 253,609.50

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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.