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Finding the Fourth Proportional to 504,957.39, 756,781.47 and 205,086.75

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Solution

The fourth proportional to 504,957.39, 756,781.47 and 205,086.75 is: 307,364.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    504,957.39 : 756,781.47 = 205,086.75 : x
  2. Step 2: Convert to fraction form
    504,957.39/756,781.47 = 205,086.75/x
  3. Step 3: Cross multiply
    504,957.39x = 756,781.47 × 205,086.75
  4. Step 4: Simplify right side
    504,957.39x = 155,205,852,142.52
  5. Step 5: Solve for x
    x = 155,205,852,142.52/504,957.39
  6. Step 6: Final answer
    x = 307,364.26

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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.