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Finding the Fourth Proportional to 458,147.05, 632,614.39 and 286,265.25

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Solution

The fourth proportional to 458,147.05, 632,614.39 and 286,265.25 is: 395,278.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    458,147.05 : 632,614.39 = 286,265.25 : x
  2. Step 2: Convert to fraction form
    458,147.05/632,614.39 = 286,265.25/x
  3. Step 3: Cross multiply
    458,147.05x = 632,614.39 × 286,265.25
  4. Step 4: Simplify right side
    458,147.05x = 181,095,515,791.28
  5. Step 5: Solve for x
    x = 181,095,515,791.28/458,147.05
  6. Step 6: Final answer
    x = 395,278.15

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