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Finding the Fourth Proportional to 452,197.16, 678,310.22 and 227,434.92

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Solution

The fourth proportional to 452,197.16, 678,310.22 and 227,434.92 is: 341,159.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    452,197.16 : 678,310.22 = 227,434.92 : x
  2. Step 2: Convert to fraction form
    452,197.16/678,310.22 = 227,434.92/x
  3. Step 3: Cross multiply
    452,197.16x = 678,310.22 × 227,434.92
  4. Step 4: Simplify right side
    452,197.16x = 154,271,430,620.88
  5. Step 5: Solve for x
    x = 154,271,430,620.88/452,197.16
  6. Step 6: Final answer
    x = 341,159.66

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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.