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Finding the Fourth Proportional to 293,402.37, 440,103.54 and 160,209.96

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Solution

The fourth proportional to 293,402.37, 440,103.54 and 160,209.96 is: 240,314.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    293,402.37 : 440,103.54 = 160,209.96 : x
  2. Step 2: Convert to fraction form
    293,402.37/440,103.54 = 160,209.96/x
  3. Step 3: Cross multiply
    293,402.37x = 440,103.54 × 160,209.96
  4. Step 4: Simplify right side
    293,402.37x = 70,508,970,539.26
  5. Step 5: Solve for x
    x = 70,508,970,539.26/293,402.37
  6. Step 6: Final answer
    x = 240,314.93

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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.