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Finding the Fourth Proportional to 458,231.64, 632,350.17 and 251,505.06

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Solution

The fourth proportional to 458,231.64, 632,350.17 and 251,505.06 is: 347,071.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    458,231.64 : 632,350.17 = 251,505.06 : x
  2. Step 2: Convert to fraction form
    458,231.64/632,350.17 = 251,505.06/x
  3. Step 3: Cross multiply
    458,231.64x = 632,350.17 × 251,505.06
  4. Step 4: Simplify right side
    458,231.64x = 159,039,267,446.86
  5. Step 5: Solve for x
    x = 159,039,267,446.86/458,231.64
  6. Step 6: Final answer
    x = 347,071.77

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.