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Finding the Fourth Proportional to 392,706.40, 588,368.40 and 337,410.40

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Solution

The fourth proportional to 392,706.40, 588,368.40 and 337,410.40 is: 505,521.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    392,706.40 : 588,368.40 = 337,410.40 : x
  2. Step 2: Convert to fraction form
    392,706.40/588,368.40 = 337,410.40/x
  3. Step 3: Cross multiply
    392,706.40x = 588,368.40 × 337,410.40
  4. Step 4: Simplify right side
    392,706.40x = 198,521,617,191.36
  5. Step 5: Solve for x
    x = 198,521,617,191.36/392,706.40
  6. Step 6: Final answer
    x = 505,521.73

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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.