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Finding the Fourth Proportional to 491,993.13, 737,356.05 and 238,783.59

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Solution

The fourth proportional to 491,993.13, 737,356.05 and 238,783.59 is: 357,867.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    491,993.13 : 737,356.05 = 238,783.59 : x
  2. Step 2: Convert to fraction form
    491,993.13/737,356.05 = 238,783.59/x
  3. Step 3: Cross multiply
    491,993.13x = 737,356.05 × 238,783.59
  4. Step 4: Simplify right side
    491,993.13x = 176,068,524,727.22
  5. Step 5: Solve for x
    x = 176,068,524,727.22/491,993.13
  6. Step 6: Final answer
    x = 357,867.85

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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.