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Finding the Fourth Proportional to 290,822.70, 408,084.90 and 290,822.70

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Solution

The fourth proportional to 290,822.70, 408,084.90 and 290,822.70 is: 408,084.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    290,822.70 : 408,084.90 = 290,822.70 : x
  2. Step 2: Convert to fraction form
    290,822.70/408,084.90 = 290,822.70/x
  3. Step 3: Cross multiply
    290,822.70x = 408,084.90 × 290,822.70
  4. Step 4: Simplify right side
    290,822.70x = 118,680,352,447.23
  5. Step 5: Solve for x
    x = 118,680,352,447.23/290,822.70
  6. Step 6: Final answer
    x = 408,084.90

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.