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Finding the Fourth Proportional to 382,471.47, 527,849.35 and 219,149.64

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Solution

The fourth proportional to 382,471.47, 527,849.35 and 219,149.64 is: 302,448.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    382,471.47 : 527,849.35 = 219,149.64 : x
  2. Step 2: Convert to fraction form
    382,471.47/527,849.35 = 219,149.64/x
  3. Step 3: Cross multiply
    382,471.47x = 527,849.35 × 219,149.64
  4. Step 4: Simplify right side
    382,471.47x = 115,677,994,478.86
  5. Step 5: Solve for x
    x = 115,677,994,478.86/382,471.47
  6. Step 6: Final answer
    x = 302,448.69

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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.