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Finding the Fourth Proportional to 333,814.54, 500,722.18 and 84,496.54

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Solution

The fourth proportional to 333,814.54, 500,722.18 and 84,496.54 is: 126,744.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    333,814.54 : 500,722.18 = 84,496.54 : x
  2. Step 2: Convert to fraction form
    333,814.54/500,722.18 = 84,496.54/x
  3. Step 3: Cross multiply
    333,814.54x = 500,722.18 × 84,496.54
  4. Step 4: Simplify right side
    333,814.54x = 42,309,291,711.26
  5. Step 5: Solve for x
    x = 42,309,291,711.26/333,814.54
  6. Step 6: Final answer
    x = 126,744.90

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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.