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Finding the Fourth Proportional to 396,386.66, 594,670.85 and 171,784.80

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Solution

The fourth proportional to 396,386.66, 594,670.85 and 171,784.80 is: 257,716.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    396,386.66 : 594,670.85 = 171,784.80 : x
  2. Step 2: Convert to fraction form
    396,386.66/594,670.85 = 171,784.80/x
  3. Step 3: Cross multiply
    396,386.66x = 594,670.85 × 171,784.80
  4. Step 4: Simplify right side
    396,386.66x = 102,155,412,174.16
  5. Step 5: Solve for x
    x = 102,155,412,174.16/396,386.66
  6. Step 6: Final answer
    x = 257,716.58

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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.