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Finding the Fourth Proportional to 333,578.25, 500,416.28 and 105,797.91

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Solution

The fourth proportional to 333,578.25, 500,416.28 and 105,797.91 is: 158,712.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    333,578.25 : 500,416.28 = 105,797.91 : x
  2. Step 2: Convert to fraction form
    333,578.25/500,416.28 = 105,797.91/x
  3. Step 3: Cross multiply
    333,578.25x = 500,416.28 × 105,797.91
  4. Step 4: Simplify right side
    333,578.25x = 52,942,998,298.29
  5. Step 5: Solve for x
    x = 52,942,998,298.29/333,578.25
  6. Step 6: Final answer
    x = 158,712.38

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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.