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Finding the Fourth Proportional to 5,648,460.99, 7,794,712.34 and 3,201,298.20

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Solution

The fourth proportional to 5,648,460.99, 7,794,712.34 and 3,201,298.20 is: 4,417,698.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,648,460.99 : 7,794,712.34 = 3,201,298.20 : x
  2. Step 2: Convert to fraction form
    5,648,460.99/7,794,712.34 = 3,201,298.20/x
  3. Step 3: Cross multiply
    5,648,460.99x = 7,794,712.34 × 3,201,298.20
  4. Step 4: Simplify right side
    5,648,460.99x = 24,953,198,567,553.30
  5. Step 5: Solve for x
    x = 24,953,198,567,553.30/5,648,460.99
  6. Step 6: Final answer
    x = 4,417,698.66

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.