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Finding the Fourth Proportional to 285,382.02, 428,280.59 and 229,892.02

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Solution

The fourth proportional to 285,382.02, 428,280.59 and 229,892.02 is: 345,005.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,382.02 : 428,280.59 = 229,892.02 : x
  2. Step 2: Convert to fraction form
    285,382.02/428,280.59 = 229,892.02/x
  3. Step 3: Cross multiply
    285,382.02x = 428,280.59 × 229,892.02
  4. Step 4: Simplify right side
    285,382.02x = 98,458,289,961.89
  5. Step 5: Solve for x
    x = 98,458,289,961.89/285,382.02
  6. Step 6: Final answer
    x = 345,005.23

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Why These Related Problems?

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