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Finding the Fourth Proportional to 333,331.86, 500,046.96 and 96,643.80

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Solution

The fourth proportional to 333,331.86, 500,046.96 and 96,643.80 is: 144,979.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    333,331.86 : 500,046.96 = 96,643.80 : x
  2. Step 2: Convert to fraction form
    333,331.86/500,046.96 = 96,643.80/x
  3. Step 3: Cross multiply
    333,331.86x = 500,046.96 × 96,643.80
  4. Step 4: Simplify right side
    333,331.86x = 48,326,438,392.85
  5. Step 5: Solve for x
    x = 48,326,438,392.85/333,331.86
  6. Step 6: Final answer
    x = 144,979.96

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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.