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Finding the Fourth Proportional to 374,287.32, 561,653.31 and 137,796.06

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Solution

The fourth proportional to 374,287.32, 561,653.31 and 137,796.06 is: 206,775.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    374,287.32 : 561,653.31 = 137,796.06 : x
  2. Step 2: Convert to fraction form
    374,287.32/561,653.31 = 137,796.06/x
  3. Step 3: Cross multiply
    374,287.32x = 561,653.31 × 137,796.06
  4. Step 4: Simplify right side
    374,287.32x = 77,393,613,203.96
  5. Step 5: Solve for x
    x = 77,393,613,203.96/374,287.32
  6. Step 6: Final answer
    x = 206,775.94

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.