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Finding the Fourth Proportional to 347,299.40, 520,949.10 and 198,000.20

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Solution

The fourth proportional to 347,299.40, 520,949.10 and 198,000.20 is: 297,000.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    347,299.40 : 520,949.10 = 198,000.20 : x
  2. Step 2: Convert to fraction form
    347,299.40/520,949.10 = 198,000.20/x
  3. Step 3: Cross multiply
    347,299.40x = 520,949.10 × 198,000.20
  4. Step 4: Simplify right side
    347,299.40x = 103,148,025,989.82
  5. Step 5: Solve for x
    x = 103,148,025,989.82/347,299.40
  6. Step 6: Final answer
    x = 297,000.30

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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.