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Finding the Fourth Proportional to 501,288.57, 751,963.10 and 201,767.85

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Solution

The fourth proportional to 501,288.57, 751,963.10 and 201,767.85 is: 302,663.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    501,288.57 : 751,963.10 = 201,767.85 : x
  2. Step 2: Convert to fraction form
    501,288.57/751,963.10 = 201,767.85/x
  3. Step 3: Cross multiply
    501,288.57x = 751,963.10 × 201,767.85
  4. Step 4: Simplify right side
    501,288.57x = 151,721,976,957.50
  5. Step 5: Solve for x
    x = 151,721,976,957.50/501,288.57
  6. Step 6: Final answer
    x = 302,663.95

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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.