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Finding the Fourth Proportional to 297,029.80, 409,863.36 and 169,713.64

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Solution

The fourth proportional to 297,029.80, 409,863.36 and 169,713.64 is: 234,183.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,029.80 : 409,863.36 = 169,713.64 : x
  2. Step 2: Convert to fraction form
    297,029.80/409,863.36 = 169,713.64/x
  3. Step 3: Cross multiply
    297,029.80x = 409,863.36 × 169,713.64
  4. Step 4: Simplify right side
    297,029.80x = 69,559,402,728.23
  5. Step 5: Solve for x
    x = 69,559,402,728.23/297,029.80
  6. Step 6: Final answer
    x = 234,183.25

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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.