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Finding the Fourth Proportional to 578,794.76, 868,224.94 and 179,492.30

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Solution

The fourth proportional to 578,794.76, 868,224.94 and 179,492.30 is: 269,248.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    578,794.76 : 868,224.94 = 179,492.30 : x
  2. Step 2: Convert to fraction form
    578,794.76/868,224.94 = 179,492.30/x
  3. Step 3: Cross multiply
    578,794.76x = 868,224.94 × 179,492.30
  4. Step 4: Simplify right side
    578,794.76x = 155,839,691,397.96
  5. Step 5: Solve for x
    x = 155,839,691,397.96/578,794.76
  6. Step 6: Final answer
    x = 269,248.62

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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.