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Finding the Fourth Proportional to 399,087.30, 598,922.55 and 280,989.30

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Solution

The fourth proportional to 399,087.30, 598,922.55 and 280,989.30 is: 421,689.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    399,087.30 : 598,922.55 = 280,989.30 : x
  2. Step 2: Convert to fraction form
    399,087.30/598,922.55 = 280,989.30/x
  3. Step 3: Cross multiply
    399,087.30x = 598,922.55 × 280,989.30
  4. Step 4: Simplify right side
    399,087.30x = 168,290,828,078.72
  5. Step 5: Solve for x
    x = 168,290,828,078.72/399,087.30
  6. Step 6: Final answer
    x = 421,689.26

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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.