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Finding the Fourth Proportional to 382,356.10, 527,649.69 and 212,580.10

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Solution

The fourth proportional to 382,356.10, 527,649.69 and 212,580.10 is: 293,359.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    382,356.10 : 527,649.69 = 212,580.10 : x
  2. Step 2: Convert to fraction form
    382,356.10/527,649.69 = 212,580.10/x
  3. Step 3: Cross multiply
    382,356.10x = 527,649.69 × 212,580.10
  4. Step 4: Simplify right side
    382,356.10x = 112,167,823,865.17
  5. Step 5: Solve for x
    x = 112,167,823,865.17/382,356.10
  6. Step 6: Final answer
    x = 293,359.58

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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.