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Finding the Fourth Proportional to 382,240.27, 527,501.70 and 210,165.42

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Solution

The fourth proportional to 382,240.27, 527,501.70 and 210,165.42 is: 290,033.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    382,240.27 : 527,501.70 = 210,165.42 : x
  2. Step 2: Convert to fraction form
    382,240.27/527,501.70 = 210,165.42/x
  3. Step 3: Cross multiply
    382,240.27x = 527,501.70 × 210,165.42
  4. Step 4: Simplify right side
    382,240.27x = 110,862,615,280.39
  5. Step 5: Solve for x
    x = 110,862,615,280.39/382,240.27
  6. Step 6: Final answer
    x = 290,033.85

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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.