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Finding the Fourth Proportional to 840,384, 1,260,586.98 and 279,418.50

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Solution

The fourth proportional to 840,384, 1,260,586.98 and 279,418.50 is: 419,131.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    840,384 : 1,260,586.98 = 279,418.50 : x
  2. Step 2: Convert to fraction form
    840,384/1,260,586.98 = 279,418.50/x
  3. Step 3: Cross multiply
    840,384x = 1,260,586.98 × 279,418.50
  4. Step 4: Simplify right side
    840,384x = 352,231,323,071.13
  5. Step 5: Solve for x
    x = 352,231,323,071.13/840,384
  6. Step 6: Final answer
    x = 419,131.40

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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.