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Finding the Fourth Proportional to 551,278.60, 827,148.30 and 177,416.20

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Solution

The fourth proportional to 551,278.60, 827,148.30 and 177,416.20 is: 266,198.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    551,278.60 : 827,148.30 = 177,416.20 : x
  2. Step 2: Convert to fraction form
    551,278.60/827,148.30 = 177,416.20/x
  3. Step 3: Cross multiply
    551,278.60x = 827,148.30 × 177,416.20
  4. Step 4: Simplify right side
    551,278.60x = 146,749,508,222.46
  5. Step 5: Solve for x
    x = 146,749,508,222.46/551,278.60
  6. Step 6: Final answer
    x = 266,198.45

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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.