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Finding the Fourth Proportional to 382,506.54, 527,851.50 and 212,737.02

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Solution

The fourth proportional to 382,506.54, 527,851.50 and 212,737.02 is: 293,572.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    382,506.54 : 527,851.50 = 212,737.02 : x
  2. Step 2: Convert to fraction form
    382,506.54/527,851.50 = 212,737.02/x
  3. Step 3: Cross multiply
    382,506.54x = 527,851.50 × 212,737.02
  4. Step 4: Simplify right side
    382,506.54x = 112,293,555,112.53
  5. Step 5: Solve for x
    x = 112,293,555,112.53/382,506.54
  6. Step 6: Final answer
    x = 293,572.90

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Why These Related Problems?

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