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Finding the Fourth Proportional to 214,937.40, 322,406.10 and 197,878.80

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Solution

The fourth proportional to 214,937.40, 322,406.10 and 197,878.80 is: 296,818.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,937.40 : 322,406.10 = 197,878.80 : x
  2. Step 2: Convert to fraction form
    214,937.40/322,406.10 = 197,878.80/x
  3. Step 3: Cross multiply
    214,937.40x = 322,406.10 × 197,878.80
  4. Step 4: Simplify right side
    214,937.40x = 63,797,332,180.68
  5. Step 5: Solve for x
    x = 63,797,332,180.68/214,937.40
  6. Step 6: Final answer
    x = 296,818.20

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.