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Finding the Fourth Proportional to 345,822.70, 477,238.96 and 194,919.70

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Solution

The fourth proportional to 345,822.70, 477,238.96 and 194,919.70 is: 268,991.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    345,822.70 : 477,238.96 = 194,919.70 : x
  2. Step 2: Convert to fraction form
    345,822.70/477,238.96 = 194,919.70/x
  3. Step 3: Cross multiply
    345,822.70x = 477,238.96 × 194,919.70
  4. Step 4: Simplify right side
    345,822.70x = 93,023,274,911.51
  5. Step 5: Solve for x
    x = 93,023,274,911.51/345,822.70
  6. Step 6: Final answer
    x = 268,991.23

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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.