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Finding the Fourth Proportional to 511,111.37, 705,317.13 and 293,355.87

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Solution

The fourth proportional to 511,111.37, 705,317.13 and 293,355.87 is: 404,821.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    511,111.37 : 705,317.13 = 293,355.87 : x
  2. Step 2: Convert to fraction form
    511,111.37/705,317.13 = 293,355.87/x
  3. Step 3: Cross multiply
    511,111.37x = 705,317.13 × 293,355.87
  4. Step 4: Simplify right side
    511,111.37x = 206,908,920,297.05
  5. Step 5: Solve for x
    x = 206,908,920,297.05/511,111.37
  6. Step 6: Final answer
    x = 404,821.60

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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.