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Finding the Fourth Proportional to 292,874.27, 438,809.85 and 159,847.88

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Solution

The fourth proportional to 292,874.27, 438,809.85 and 159,847.88 is: 239,498.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    292,874.27 : 438,809.85 = 159,847.88 : x
  2. Step 2: Convert to fraction form
    292,874.27/438,809.85 = 159,847.88/x
  3. Step 3: Cross multiply
    292,874.27x = 438,809.85 × 159,847.88
  4. Step 4: Simplify right side
    292,874.27x = 70,142,822,051.57
  5. Step 5: Solve for x
    x = 70,142,822,051.57/292,874.27
  6. Step 6: Final answer
    x = 239,498.07

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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.