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Finding the Fourth Proportional to 501,893.88, 752,959.38 and 164,935.50

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Solution

The fourth proportional to 501,893.88, 752,959.38 and 164,935.50 is: 247,442.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    501,893.88 : 752,959.38 = 164,935.50 : x
  2. Step 2: Convert to fraction form
    501,893.88/752,959.38 = 164,935.50/x
  3. Step 3: Cross multiply
    501,893.88x = 752,959.38 × 164,935.50
  4. Step 4: Simplify right side
    501,893.88x = 124,189,731,819.99
  5. Step 5: Solve for x
    x = 124,189,731,819.99/501,893.88
  6. Step 6: Final answer
    x = 247,442.21

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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.