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Finding the Fourth Proportional to 291,744.86, 402,718.59 and 196,306.92

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Solution

The fourth proportional to 291,744.86, 402,718.59 and 196,306.92 is: 270,978.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    291,744.86 : 402,718.59 = 196,306.92 : x
  2. Step 2: Convert to fraction form
    291,744.86/402,718.59 = 196,306.92/x
  3. Step 3: Cross multiply
    291,744.86x = 402,718.59 × 196,306.92
  4. Step 4: Simplify right side
    291,744.86x = 79,056,446,029.64
  5. Step 5: Solve for x
    x = 79,056,446,029.64/291,744.86
  6. Step 6: Final answer
    x = 270,978.03

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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.