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Finding the Fourth Proportional to 646,143.38, 968,341.62 and 466,536

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Solution

The fourth proportional to 646,143.38, 968,341.62 and 466,536 is: 699,173.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    646,143.38 : 968,341.62 = 466,536 : x
  2. Step 2: Convert to fraction form
    646,143.38/968,341.62 = 466,536/x
  3. Step 3: Cross multiply
    646,143.38x = 968,341.62 × 466,536
  4. Step 4: Simplify right side
    646,143.38x = 451,766,226,028.32
  5. Step 5: Solve for x
    x = 451,766,226,028.32/646,143.38
  6. Step 6: Final answer
    x = 699,173.34

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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.