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Finding the Fourth Proportional to 288,000.96, 396,988.77 and 197,199.91

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Solution

The fourth proportional to 288,000.96, 396,988.77 and 197,199.91 is: 271,826.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,000.96 : 396,988.77 = 197,199.91 : x
  2. Step 2: Convert to fraction form
    288,000.96/396,988.77 = 197,199.91/x
  3. Step 3: Cross multiply
    288,000.96x = 396,988.77 × 197,199.91
  4. Step 4: Simplify right side
    288,000.96x = 78,286,149,715.01
  5. Step 5: Solve for x
    x = 78,286,149,715.01/288,000.96
  6. Step 6: Final answer
    x = 271,826.00

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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.