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Finding the Fourth Proportional to 471,833.60, 706,713.60 and 409,625.60

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Solution

The fourth proportional to 471,833.60, 706,713.60 and 409,625.60 is: 613,538.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    471,833.60 : 706,713.60 = 409,625.60 : x
  2. Step 2: Convert to fraction form
    471,833.60/706,713.60 = 409,625.60/x
  3. Step 3: Cross multiply
    471,833.60x = 706,713.60 × 409,625.60
  4. Step 4: Simplify right side
    471,833.60x = 289,487,982,428.16
  5. Step 5: Solve for x
    x = 289,487,982,428.16/471,833.60
  6. Step 6: Final answer
    x = 613,538.29

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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.