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Finding the Fourth Proportional to 285,878.10, 428,471 and 159,384.02

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Solution

The fourth proportional to 285,878.10, 428,471 and 159,384.02 is: 238,883.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,878.10 : 428,471 = 159,384.02 : x
  2. Step 2: Convert to fraction form
    285,878.10/428,471 = 159,384.02/x
  3. Step 3: Cross multiply
    285,878.10x = 428,471 × 159,384.02
  4. Step 4: Simplify right side
    285,878.10x = 68,291,430,433.42
  5. Step 5: Solve for x
    x = 68,291,430,433.42/285,878.10
  6. Step 6: Final answer
    x = 238,883.04

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.