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Finding the Fourth Proportional to 471,824.40, 706,699.80 and 419,293.20

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Solution

The fourth proportional to 471,824.40, 706,699.80 and 419,293.20 is: 628,018.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    471,824.40 : 706,699.80 = 419,293.20 : x
  2. Step 2: Convert to fraction form
    471,824.40/706,699.80 = 419,293.20/x
  3. Step 3: Cross multiply
    471,824.40x = 706,699.80 × 419,293.20
  4. Step 4: Simplify right side
    471,824.40x = 296,314,420,581.36
  5. Step 5: Solve for x
    x = 296,314,420,581.36/471,824.40
  6. Step 6: Final answer
    x = 628,018.43

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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.