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Finding the Fourth Proportional to 470,966.20, 706,449.30 and 311,533.90

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Solution

The fourth proportional to 470,966.20, 706,449.30 and 311,533.90 is: 467,300.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,966.20 : 706,449.30 = 311,533.90 : x
  2. Step 2: Convert to fraction form
    470,966.20/706,449.30 = 311,533.90/x
  3. Step 3: Cross multiply
    470,966.20x = 706,449.30 × 311,533.90
  4. Step 4: Simplify right side
    470,966.20x = 220,082,905,581.27
  5. Step 5: Solve for x
    x = 220,082,905,581.27/470,966.20
  6. Step 6: Final answer
    x = 467,300.85

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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.