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Finding the Fourth Proportional to 698,144.94, 963,443.88 and 392,234.22

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Solution

The fourth proportional to 698,144.94, 963,443.88 and 392,234.22 is: 541,285.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    698,144.94 : 963,443.88 = 392,234.22 : x
  2. Step 2: Convert to fraction form
    698,144.94/963,443.88 = 392,234.22/x
  3. Step 3: Cross multiply
    698,144.94x = 963,443.88 × 392,234.22
  4. Step 4: Simplify right side
    698,144.94x = 377,895,658,785.57
  5. Step 5: Solve for x
    x = 377,895,658,785.57/698,144.94
  6. Step 6: Final answer
    x = 541,285.39

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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.