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Finding the Fourth Proportional to 616,165.90, 850,224.81 and 344,200.17

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Solution

The fourth proportional to 616,165.90, 850,224.81 and 344,200.17 is: 474,949.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    616,165.90 : 850,224.81 = 344,200.17 : x
  2. Step 2: Convert to fraction form
    616,165.90/850,224.81 = 344,200.17/x
  3. Step 3: Cross multiply
    616,165.90x = 850,224.81 × 344,200.17
  4. Step 4: Simplify right side
    616,165.90x = 292,647,524,140.22
  5. Step 5: Solve for x
    x = 292,647,524,140.22/616,165.90
  6. Step 6: Final answer
    x = 474,949.24

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.