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Finding the Fourth Proportional to 551,639.40, 827,442.63 and 152,304.54

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Solution

The fourth proportional to 551,639.40, 827,442.63 and 152,304.54 is: 228,452.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    551,639.40 : 827,442.63 = 152,304.54 : x
  2. Step 2: Convert to fraction form
    551,639.40/827,442.63 = 152,304.54/x
  3. Step 3: Cross multiply
    551,639.40x = 827,442.63 × 152,304.54
  4. Step 4: Simplify right side
    551,639.40x = 126,023,269,138.54
  5. Step 5: Solve for x
    x = 126,023,269,138.54/551,639.40
  6. Step 6: Final answer
    x = 228,452.26

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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.