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Finding the Fourth Proportional to 470,520.80, 704,614.80 and 301,781.60

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Solution

The fourth proportional to 470,520.80, 704,614.80 and 301,781.60 is: 451,924.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,520.80 : 704,614.80 = 301,781.60 : x
  2. Step 2: Convert to fraction form
    470,520.80/704,614.80 = 301,781.60/x
  3. Step 3: Cross multiply
    470,520.80x = 704,614.80 × 301,781.60
  4. Step 4: Simplify right side
    470,520.80x = 212,639,781,727.68
  5. Step 5: Solve for x
    x = 212,639,781,727.68/470,520.80
  6. Step 6: Final answer
    x = 451,924.30

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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.