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Finding the Fourth Proportional to 511,684.78, 705,590.76 and 356,816.17

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Solution

The fourth proportional to 511,684.78, 705,590.76 and 356,816.17 is: 492,033.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    511,684.78 : 705,590.76 = 356,816.17 : x
  2. Step 2: Convert to fraction form
    511,684.78/705,590.76 = 356,816.17/x
  3. Step 3: Cross multiply
    511,684.78x = 705,590.76 × 356,816.17
  4. Step 4: Simplify right side
    511,684.78x = 251,766,192,570.59
  5. Step 5: Solve for x
    x = 251,766,192,570.59/511,684.78
  6. Step 6: Final answer
    x = 492,033.77

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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.