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Finding the Fourth Proportional to 501,844.86, 752,194.62 and 202,133.52

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Solution

The fourth proportional to 501,844.86, 752,194.62 and 202,133.52 is: 302,969.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    501,844.86 : 752,194.62 = 202,133.52 : x
  2. Step 2: Convert to fraction form
    501,844.86/752,194.62 = 202,133.52/x
  3. Step 3: Cross multiply
    501,844.86x = 752,194.62 × 202,133.52
  4. Step 4: Simplify right side
    501,844.86x = 152,043,746,265.66
  5. Step 5: Solve for x
    x = 152,043,746,265.66/501,844.86
  6. Step 6: Final answer
    x = 302,969.62

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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.