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Finding the Fourth Proportional to 470,811.60, 649,644.84 and 309,731.76

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Solution

The fourth proportional to 470,811.60, 649,644.84 and 309,731.76 is: 427,380.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,811.60 : 649,644.84 = 309,731.76 : x
  2. Step 2: Convert to fraction form
    470,811.60/649,644.84 = 309,731.76/x
  3. Step 3: Cross multiply
    470,811.60x = 649,644.84 × 309,731.76
  4. Step 4: Simplify right side
    470,811.60x = 201,215,639,668.12
  5. Step 5: Solve for x
    x = 201,215,639,668.12/470,811.60
  6. Step 6: Final answer
    x = 427,380.38

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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.