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Finding the Fourth Proportional to 471,819.40, 706,692.30 and 419,288.20

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Solution

The fourth proportional to 471,819.40, 706,692.30 and 419,288.20 is: 628,010.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    471,819.40 : 706,692.30 = 419,288.20 : x
  2. Step 2: Convert to fraction form
    471,819.40/706,692.30 = 419,288.20/x
  3. Step 3: Cross multiply
    471,819.40x = 706,692.30 × 419,288.20
  4. Step 4: Simplify right side
    471,819.40x = 296,307,742,420.86
  5. Step 5: Solve for x
    x = 296,307,742,420.86/471,819.40
  6. Step 6: Final answer
    x = 628,010.93

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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.