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Finding the Fourth Proportional to 551,470.67, 827,290.02 and 281,451.35

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Solution

The fourth proportional to 551,470.67, 827,290.02 and 281,451.35 is: 422,219.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    551,470.67 : 827,290.02 = 281,451.35 : x
  2. Step 2: Convert to fraction form
    551,470.67/827,290.02 = 281,451.35/x
  3. Step 3: Cross multiply
    551,470.67x = 827,290.02 × 281,451.35
  4. Step 4: Simplify right side
    551,470.67x = 232,841,892,970.53
  5. Step 5: Solve for x
    x = 232,841,892,970.53/551,470.67
  6. Step 6: Final answer
    x = 422,219.90

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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.