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Finding the Fourth Proportional to 511,393.35, 705,661.22 and 293,590.02

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Solution

The fourth proportional to 511,393.35, 705,661.22 and 293,590.02 is: 405,118.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    511,393.35 : 705,661.22 = 293,590.02 : x
  2. Step 2: Convert to fraction form
    511,393.35/705,661.22 = 293,590.02/x
  3. Step 3: Cross multiply
    511,393.35x = 705,661.22 × 293,590.02
  4. Step 4: Simplify right side
    511,393.35x = 207,175,092,427.00
  5. Step 5: Solve for x
    x = 207,175,092,427.00/511,393.35
  6. Step 6: Final answer
    x = 405,118.86

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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.