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Finding the Fourth Proportional to 381,776.63, 572,412.20 and 182,127.83

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Solution

The fourth proportional to 381,776.63, 572,412.20 and 182,127.83 is: 273,071.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    381,776.63 : 572,412.20 = 182,127.83 : x
  2. Step 2: Convert to fraction form
    381,776.63/572,412.20 = 182,127.83/x
  3. Step 3: Cross multiply
    381,776.63x = 572,412.20 × 182,127.83
  4. Step 4: Simplify right side
    381,776.63x = 104,252,188,078.83
  5. Step 5: Solve for x
    x = 104,252,188,078.83/381,776.63
  6. Step 6: Final answer
    x = 273,071.17

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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.