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Finding the Fourth Proportional to 366,944.93, 506,387.67 and 205,796.52

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Solution

The fourth proportional to 366,944.93, 506,387.67 and 205,796.52 is: 284,001.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    366,944.93 : 506,387.67 = 205,796.52 : x
  2. Step 2: Convert to fraction form
    366,944.93/506,387.67 = 205,796.52/x
  3. Step 3: Cross multiply
    366,944.93x = 506,387.67 × 205,796.52
  4. Step 4: Simplify right side
    366,944.93x = 104,212,820,256.91
  5. Step 5: Solve for x
    x = 104,212,820,256.91/366,944.93
  6. Step 6: Final answer
    x = 284,001.25

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.