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Finding the Fourth Proportional to 586,185.72, 878,819.25 and 231,465.26

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Solution

The fourth proportional to 586,185.72, 878,819.25 and 231,465.26 is: 347,016.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    586,185.72 : 878,819.25 = 231,465.26 : x
  2. Step 2: Convert to fraction form
    586,185.72/878,819.25 = 231,465.26/x
  3. Step 3: Cross multiply
    586,185.72x = 878,819.25 × 231,465.26
  4. Step 4: Simplify right side
    586,185.72x = 203,416,121,800.16
  5. Step 5: Solve for x
    x = 203,416,121,800.16/586,185.72
  6. Step 6: Final answer
    x = 347,016.51

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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.