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Finding the Fourth Proportional to 333,643.75, 500,465.39 and 133,964.04

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Solution

The fourth proportional to 333,643.75, 500,465.39 and 133,964.04 is: 200,945.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    333,643.75 : 500,465.39 = 133,964.04 : x
  2. Step 2: Convert to fraction form
    333,643.75/500,465.39 = 133,964.04/x
  3. Step 3: Cross multiply
    333,643.75x = 500,465.39 × 133,964.04
  4. Step 4: Simplify right side
    333,643.75x = 67,044,365,524.58
  5. Step 5: Solve for x
    x = 67,044,365,524.58/333,643.75
  6. Step 6: Final answer
    x = 200,945.97

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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.