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Finding the Fourth Proportional to 471,906.96, 707,160.47 and 346,635.60

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Solution

The fourth proportional to 471,906.96, 707,160.47 and 346,635.60 is: 519,439.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    471,906.96 : 707,160.47 = 346,635.60 : x
  2. Step 2: Convert to fraction form
    471,906.96/707,160.47 = 346,635.60/x
  3. Step 3: Cross multiply
    471,906.96x = 707,160.47 × 346,635.60
  4. Step 4: Simplify right side
    471,906.96x = 245,126,992,081.55
  5. Step 5: Solve for x
    x = 245,126,992,081.55/471,906.96
  6. Step 6: Final answer
    x = 519,439.24

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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.