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Finding the Fourth Proportional to 699,789.64, 965,355.66 and 409,211.20

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Solution

The fourth proportional to 699,789.64, 965,355.66 and 409,211.20 is: 564,504.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    699,789.64 : 965,355.66 = 409,211.20 : x
  2. Step 2: Convert to fraction form
    699,789.64/965,355.66 = 409,211.20/x
  3. Step 3: Cross multiply
    699,789.64x = 965,355.66 × 409,211.20
  4. Step 4: Simplify right side
    699,789.64x = 395,034,348,055.39
  5. Step 5: Solve for x
    x = 395,034,348,055.39/699,789.64
  6. Step 6: Final answer
    x = 564,504.42

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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.