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Finding the Fourth Proportional to 382,191.04, 527,441.52 and 212,428

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Solution

The fourth proportional to 382,191.04, 527,441.52 and 212,428 is: 293,160.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    382,191.04 : 527,441.52 = 212,428 : x
  2. Step 2: Convert to fraction form
    382,191.04/527,441.52 = 212,428/x
  3. Step 3: Cross multiply
    382,191.04x = 527,441.52 × 212,428
  4. Step 4: Simplify right side
    382,191.04x = 112,043,347,210.56
  5. Step 5: Solve for x
    x = 112,043,347,210.56/382,191.04
  6. Step 6: Final answer
    x = 293,160.58

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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.