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Finding the Fourth Proportional to 382,498.28, 527,866.32 and 212,728.76

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Solution

The fourth proportional to 382,498.28, 527,866.32 and 212,728.76 is: 293,576.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    382,498.28 : 527,866.32 = 212,728.76 : x
  2. Step 2: Convert to fraction form
    382,498.28/527,866.32 = 212,728.76/x
  3. Step 3: Cross multiply
    382,498.28x = 527,866.32 × 212,728.76
  4. Step 4: Simplify right side
    382,498.28x = 112,292,347,699.36
  5. Step 5: Solve for x
    x = 112,292,347,699.36/382,498.28
  6. Step 6: Final answer
    x = 293,576.09

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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.