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Finding the Fourth Proportional to 544,017.10, 816,140.85 and 164,906.70

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Solution

The fourth proportional to 544,017.10, 816,140.85 and 164,906.70 is: 247,394.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    544,017.10 : 816,140.85 = 164,906.70 : x
  2. Step 2: Convert to fraction form
    544,017.10/816,140.85 = 164,906.70/x
  3. Step 3: Cross multiply
    544,017.10x = 816,140.85 × 164,906.70
  4. Step 4: Simplify right side
    544,017.10x = 134,587,094,308.70
  5. Step 5: Solve for x
    x = 134,587,094,308.70/544,017.10
  6. Step 6: Final answer
    x = 247,394.97

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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.