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Finding the Fourth Proportional to 333,923.50, 500,914.41 and 84,605.50

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Solution

The fourth proportional to 333,923.50, 500,914.41 and 84,605.50 is: 126,915.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    333,923.50 : 500,914.41 = 84,605.50 : x
  2. Step 2: Convert to fraction form
    333,923.50/500,914.41 = 84,605.50/x
  3. Step 3: Cross multiply
    333,923.50x = 500,914.41 × 84,605.50
  4. Step 4: Simplify right side
    333,923.50x = 42,380,114,115.26
  5. Step 5: Solve for x
    x = 42,380,114,115.26/333,923.50
  6. Step 6: Final answer
    x = 126,915.64

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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.