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Finding the Fourth Proportional to 616,807.25, 850,933.36 and 412,923.85

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Solution

The fourth proportional to 616,807.25, 850,933.36 and 412,923.85 is: 569,660.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    616,807.25 : 850,933.36 = 412,923.85 : x
  2. Step 2: Convert to fraction form
    616,807.25/850,933.36 = 412,923.85/x
  3. Step 3: Cross multiply
    616,807.25x = 850,933.36 × 412,923.85
  4. Step 4: Simplify right side
    616,807.25x = 351,370,679,104.64
  5. Step 5: Solve for x
    x = 351,370,679,104.64/616,807.25
  6. Step 6: Final answer
    x = 569,660.42

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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.