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Finding the Fourth Proportional to 698,772.96, 964,301.76 and 396,966.96

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Solution

The fourth proportional to 698,772.96, 964,301.76 and 396,966.96 is: 547,811.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    698,772.96 : 964,301.76 = 396,966.96 : x
  2. Step 2: Convert to fraction form
    698,772.96/964,301.76 = 396,966.96/x
  3. Step 3: Cross multiply
    698,772.96x = 964,301.76 × 396,966.96
  4. Step 4: Simplify right side
    698,772.96x = 382,795,938,189.85
  5. Step 5: Solve for x
    x = 382,795,938,189.85/698,772.96
  6. Step 6: Final answer
    x = 547,811.61

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1.5x scale

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.