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Finding the Fourth Proportional to 701,662.82, 968,543.66 and 415,182.29

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Solution

The fourth proportional to 701,662.82, 968,543.66 and 415,182.29 is: 573,098.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    701,662.82 : 968,543.66 = 415,182.29 : x
  2. Step 2: Convert to fraction form
    701,662.82/968,543.66 = 415,182.29/x
  3. Step 3: Cross multiply
    701,662.82x = 968,543.66 × 415,182.29
  4. Step 4: Simplify right side
    701,662.82x = 402,122,170,919.02
  5. Step 5: Solve for x
    x = 402,122,170,919.02/701,662.82
  6. Step 6: Final answer
    x = 573,098.88

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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.