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Finding the Fourth Proportional to 438,851.96, 658,302.53 and 123,284.25

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Solution

The fourth proportional to 438,851.96, 658,302.53 and 123,284.25 is: 184,933.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    438,851.96 : 658,302.53 = 123,284.25 : x
  2. Step 2: Convert to fraction form
    438,851.96/658,302.53 = 123,284.25/x
  3. Step 3: Cross multiply
    438,851.96x = 658,302.53 × 123,284.25
  4. Step 4: Simplify right side
    438,851.96x = 81,158,333,067.73
  5. Step 5: Solve for x
    x = 81,158,333,067.73/438,851.96
  6. Step 6: Final answer
    x = 184,933.28

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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.