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Finding the Fourth Proportional to 340,658.67, 511,067.10 and 116,021.06

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Solution

The fourth proportional to 340,658.67, 511,067.10 and 116,021.06 is: 174,058.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    340,658.67 : 511,067.10 = 116,021.06 : x
  2. Step 2: Convert to fraction form
    340,658.67/511,067.10 = 116,021.06/x
  3. Step 3: Cross multiply
    340,658.67x = 511,067.10 × 116,021.06
  4. Step 4: Simplify right side
    340,658.67x = 59,294,544,117.79
  5. Step 5: Solve for x
    x = 59,294,544,117.79/340,658.67
  6. Step 6: Final answer
    x = 174,058.52

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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.