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Finding the Fourth Proportional to 494,711.70, 742,067.55 and 317,564.70

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Solution

The fourth proportional to 494,711.70, 742,067.55 and 317,564.70 is: 476,347.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    494,711.70 : 742,067.55 = 317,564.70 : x
  2. Step 2: Convert to fraction form
    494,711.70/742,067.55 = 317,564.70/x
  3. Step 3: Cross multiply
    494,711.70x = 742,067.55 × 317,564.70
  4. Step 4: Simplify right side
    494,711.70x = 235,654,458,895.49
  5. Step 5: Solve for x
    x = 235,654,458,895.49/494,711.70
  6. Step 6: Final answer
    x = 476,347.05

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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.