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Finding the Fourth Proportional to 596,467.80, 894,993.30 and 280,870.20

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Solution

The fourth proportional to 596,467.80, 894,993.30 and 280,870.20 is: 421,442.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    596,467.80 : 894,993.30 = 280,870.20 : x
  2. Step 2: Convert to fraction form
    596,467.80/894,993.30 = 280,870.20/x
  3. Step 3: Cross multiply
    596,467.80x = 894,993.30 × 280,870.20
  4. Step 4: Simplify right side
    596,467.80x = 251,376,947,169.66
  5. Step 5: Solve for x
    x = 251,376,947,169.66/596,467.80
  6. Step 6: Final answer
    x = 421,442.61

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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.