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Finding the Fourth Proportional to 4,682,239.24, 7,023,921.45 and 1,648,978.42

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Solution

The fourth proportional to 4,682,239.24, 7,023,921.45 and 1,648,978.42 is: 2,473,665.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,682,239.24 : 7,023,921.45 = 1,648,978.42 : x
  2. Step 2: Convert to fraction form
    4,682,239.24/7,023,921.45 = 1,648,978.42/x
  3. Step 3: Cross multiply
    4,682,239.24x = 7,023,921.45 × 1,648,978.42
  4. Step 4: Simplify right side
    4,682,239.24x = 11,582,294,894,825.11
  5. Step 5: Solve for x
    x = 11,582,294,894,825.11/4,682,239.24
  6. Step 6: Final answer
    x = 2,473,665.76

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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.