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Finding the Fourth Proportional to 698,099.97, 963,381.70 and 392,189.24

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Solution

The fourth proportional to 698,099.97, 963,381.70 and 392,189.24 is: 541,223.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    698,099.97 : 963,381.70 = 392,189.24 : x
  2. Step 2: Convert to fraction form
    698,099.97/963,381.70 = 392,189.24/x
  3. Step 3: Cross multiply
    698,099.97x = 963,381.70 × 392,189.24
  4. Step 4: Simplify right side
    698,099.97x = 377,827,939,651.60
  5. Step 5: Solve for x
    x = 377,827,939,651.60/698,099.97
  6. Step 6: Final answer
    x = 541,223.26

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.