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Finding the Fourth Proportional to 474,710.14, 712,063.41 and 194,227.30

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Solution

The fourth proportional to 474,710.14, 712,063.41 and 194,227.30 is: 291,340.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    474,710.14 : 712,063.41 = 194,227.30 : x
  2. Step 2: Convert to fraction form
    474,710.14/712,063.41 = 194,227.30/x
  3. Step 3: Cross multiply
    474,710.14x = 712,063.41 × 194,227.30
  4. Step 4: Simplify right side
    474,710.14x = 138,302,153,553.09
  5. Step 5: Solve for x
    x = 138,302,153,553.09/474,710.14
  6. Step 6: Final answer
    x = 291,340.21

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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.