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Finding the Fourth Proportional to 511,680.78, 705,585.24 and 356,812.16

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Solution

The fourth proportional to 511,680.78, 705,585.24 and 356,812.16 is: 492,028.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    511,680.78 : 705,585.24 = 356,812.16 : x
  2. Step 2: Convert to fraction form
    511,680.78/705,585.24 = 356,812.16/x
  3. Step 3: Cross multiply
    511,680.78x = 705,585.24 × 356,812.16
  4. Step 4: Simplify right side
    511,680.78x = 251,761,390,020.59
  5. Step 5: Solve for x
    x = 251,761,390,020.59/511,680.78
  6. Step 6: Final answer
    x = 492,028.23

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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.