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Finding the Fourth Proportional to 382,232.04, 527,498.10 and 212,469

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Solution

The fourth proportional to 382,232.04, 527,498.10 and 212,469 is: 293,217.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    382,232.04 : 527,498.10 = 212,469 : x
  2. Step 2: Convert to fraction form
    382,232.04/527,498.10 = 212,469/x
  3. Step 3: Cross multiply
    382,232.04x = 527,498.10 × 212,469
  4. Step 4: Simplify right side
    382,232.04x = 112,076,993,808.90
  5. Step 5: Solve for x
    x = 112,076,993,808.90/382,232.04
  6. Step 6: Final answer
    x = 293,217.16

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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.