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Finding the Fourth Proportional to 698,109.78, 963,323.46 and 392,116.86

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Solution

The fourth proportional to 698,109.78, 963,323.46 and 392,116.86 is: 541,083.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    698,109.78 : 963,323.46 = 392,116.86 : x
  2. Step 2: Convert to fraction form
    698,109.78/963,323.46 = 392,116.86/x
  3. Step 3: Cross multiply
    698,109.78x = 963,323.46 × 392,116.86
  4. Step 4: Simplify right side
    698,109.78x = 377,735,370,299.54
  5. Step 5: Solve for x
    x = 377,735,370,299.54/698,109.78
  6. Step 6: Final answer
    x = 541,083.05

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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.