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Finding the Fourth Proportional to 333,477, 500,064.30 and 143,847.90

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Solution

The fourth proportional to 333,477, 500,064.30 and 143,847.90 is: 215,706.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    333,477 : 500,064.30 = 143,847.90 : x
  2. Step 2: Convert to fraction form
    333,477/500,064.30 = 143,847.90/x
  3. Step 3: Cross multiply
    333,477x = 500,064.30 × 143,847.90
  4. Step 4: Simplify right side
    333,477x = 71,933,199,419.97
  5. Step 5: Solve for x
    x = 71,933,199,419.97/333,477
  6. Step 6: Final answer
    x = 215,706.63

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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.