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Finding the Fourth Proportional to 475,394.80, 713,092.20 and 208,872.40

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Solution

The fourth proportional to 475,394.80, 713,092.20 and 208,872.40 is: 313,308.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    475,394.80 : 713,092.20 = 208,872.40 : x
  2. Step 2: Convert to fraction form
    475,394.80/713,092.20 = 208,872.40/x
  3. Step 3: Cross multiply
    475,394.80x = 713,092.20 × 208,872.40
  4. Step 4: Simplify right side
    475,394.80x = 148,945,279,235.28
  5. Step 5: Solve for x
    x = 148,945,279,235.28/475,394.80
  6. Step 6: Final answer
    x = 313,308.60

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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.