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Finding the Fourth Proportional to 471,032.20, 705,770.70 and 401,048.20

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Solution

The fourth proportional to 471,032.20, 705,770.70 and 401,048.20 is: 600,910.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    471,032.20 : 705,770.70 = 401,048.20 : x
  2. Step 2: Convert to fraction form
    471,032.20/705,770.70 = 401,048.20/x
  3. Step 3: Cross multiply
    471,032.20x = 705,770.70 × 401,048.20
  4. Step 4: Simplify right side
    471,032.20x = 283,048,068,847.74
  5. Step 5: Solve for x
    x = 283,048,068,847.74/471,032.20
  6. Step 6: Final answer
    x = 600,910.23

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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.