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Finding the Fourth Proportional to 470,078.72, 704,519.04 and 220,209.92

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Solution

The fourth proportional to 470,078.72, 704,519.04 and 220,209.92 is: 330,034.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,078.72 : 704,519.04 = 220,209.92 : x
  2. Step 2: Convert to fraction form
    470,078.72/704,519.04 = 220,209.92/x
  3. Step 3: Cross multiply
    470,078.72x = 704,519.04 × 220,209.92
  4. Step 4: Simplify right side
    470,078.72x = 155,142,081,436.88
  5. Step 5: Solve for x
    x = 155,142,081,436.88/470,078.72
  6. Step 6: Final answer
    x = 330,034.26

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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.