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Finding the Fourth Proportional to 511,683.78, 705,589.38 and 356,815.17

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Solution

The fourth proportional to 511,683.78, 705,589.38 and 356,815.17 is: 492,032.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    511,683.78 : 705,589.38 = 356,815.17 : x
  2. Step 2: Convert to fraction form
    511,683.78/705,589.38 = 356,815.17/x
  3. Step 3: Cross multiply
    511,683.78x = 705,589.38 × 356,815.17
  4. Step 4: Simplify right side
    511,683.78x = 251,764,994,574.90
  5. Step 5: Solve for x
    x = 251,764,994,574.90/511,683.78
  6. Step 6: Final answer
    x = 492,032.39

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1.5x scale

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.