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Finding the Fourth Proportional to 298,056.80, 411,154.44 and 188,961.68

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Solution

The fourth proportional to 298,056.80, 411,154.44 and 188,961.68 is: 260,663.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,056.80 : 411,154.44 = 188,961.68 : x
  2. Step 2: Convert to fraction form
    298,056.80/411,154.44 = 188,961.68/x
  3. Step 3: Cross multiply
    298,056.80x = 411,154.44 × 188,961.68
  4. Step 4: Simplify right side
    298,056.80x = 77,692,433,721.86
  5. Step 5: Solve for x
    x = 77,692,433,721.86/298,056.80
  6. Step 6: Final answer
    x = 260,663.18

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.