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Finding the Fourth Proportional to 474,716.98, 711,583.39 and 296,815.47

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Solution

The fourth proportional to 474,716.98, 711,583.39 and 296,815.47 is: 444,915.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    474,716.98 : 711,583.39 = 296,815.47 : x
  2. Step 2: Convert to fraction form
    474,716.98/711,583.39 = 296,815.47/x
  3. Step 3: Cross multiply
    474,716.98x = 711,583.39 × 296,815.47
  4. Step 4: Simplify right side
    474,716.98x = 211,208,958,347.04
  5. Step 5: Solve for x
    x = 211,208,958,347.04/474,716.98
  6. Step 6: Final answer
    x = 444,915.53

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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.