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Finding the Fourth Proportional to 582,794.41, 873,970.16 and 278,876.58

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Solution

The fourth proportional to 582,794.41, 873,970.16 and 278,876.58 is: 418,208.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    582,794.41 : 873,970.16 = 278,876.58 : x
  2. Step 2: Convert to fraction form
    582,794.41/873,970.16 = 278,876.58/x
  3. Step 3: Cross multiply
    582,794.41x = 873,970.16 × 278,876.58
  4. Step 4: Simplify right side
    582,794.41x = 243,729,809,242.85
  5. Step 5: Solve for x
    x = 243,729,809,242.85/582,794.41
  6. Step 6: Final answer
    x = 418,208.90

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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.