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Finding the Fourth Proportional to 519,420.90, 779,032.92 and 182,382.33

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Solution

The fourth proportional to 519,420.90, 779,032.92 and 182,382.33 is: 273,538.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    519,420.90 : 779,032.92 = 182,382.33 : x
  2. Step 2: Convert to fraction form
    519,420.90/779,032.92 = 182,382.33/x
  3. Step 3: Cross multiply
    519,420.90x = 779,032.92 × 182,382.33
  4. Step 4: Simplify right side
    519,420.90x = 142,081,839,096.30
  5. Step 5: Solve for x
    x = 142,081,839,096.30/519,420.90
  6. Step 6: Final answer
    x = 273,538.93

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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.