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Finding the Fourth Proportional to 382,154.84, 527,380.23 and 210,080.06

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Solution

The fourth proportional to 382,154.84, 527,380.23 and 210,080.06 is: 289,914.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    382,154.84 : 527,380.23 = 210,080.06 : x
  2. Step 2: Convert to fraction form
    382,154.84/527,380.23 = 210,080.06/x
  3. Step 3: Cross multiply
    382,154.84x = 527,380.23 × 210,080.06
  4. Step 4: Simplify right side
    382,154.84x = 110,792,070,489.79
  5. Step 5: Solve for x
    x = 110,792,070,489.79/382,154.84
  6. Step 6: Final answer
    x = 289,914.09

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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.