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Finding the Fourth Proportional to 698,734.58, 964,187.25 and 408,414.20

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Solution

The fourth proportional to 698,734.58, 964,187.25 and 408,414.20 is: 563,572.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    698,734.58 : 964,187.25 = 408,414.20 : x
  2. Step 2: Convert to fraction form
    698,734.58/964,187.25 = 408,414.20/x
  3. Step 3: Cross multiply
    698,734.58x = 964,187.25 × 408,414.20
  4. Step 4: Simplify right side
    698,734.58x = 393,787,763,430.01
  5. Step 5: Solve for x
    x = 393,787,763,430.01/698,734.58
  6. Step 6: Final answer
    x = 563,572.74

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