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Finding the Fourth Proportional to 299,559.20, 413,394.99 and 163,597.15

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Solution

The fourth proportional to 299,559.20, 413,394.99 and 163,597.15 is: 225,765.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,559.20 : 413,394.99 = 163,597.15 : x
  2. Step 2: Convert to fraction form
    299,559.20/413,394.99 = 163,597.15/x
  3. Step 3: Cross multiply
    299,559.20x = 413,394.99 × 163,597.15
  4. Step 4: Simplify right side
    299,559.20x = 67,630,242,188.28
  5. Step 5: Solve for x
    x = 67,630,242,188.28/299,559.20
  6. Step 6: Final answer
    x = 225,765.87

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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.