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Finding the Fourth Proportional to 469,596.20, 704,394.30 and 311,311.40

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Solution

The fourth proportional to 469,596.20, 704,394.30 and 311,311.40 is: 466,967.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    469,596.20 : 704,394.30 = 311,311.40 : x
  2. Step 2: Convert to fraction form
    469,596.20/704,394.30 = 311,311.40/x
  3. Step 3: Cross multiply
    469,596.20x = 704,394.30 × 311,311.40
  4. Step 4: Simplify right side
    469,596.20x = 219,285,975,685.02
  5. Step 5: Solve for x
    x = 219,285,975,685.02/469,596.20
  6. Step 6: Final answer
    x = 466,967.10

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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.