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Finding the Fourth Proportional to 698,436, 963,796.32 and 411,890.40

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Solution

The fourth proportional to 698,436, 963,796.32 and 411,890.40 is: 568,382.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    698,436 : 963,796.32 = 411,890.40 : x
  2. Step 2: Convert to fraction form
    698,436/963,796.32 = 411,890.40/x
  3. Step 3: Cross multiply
    698,436x = 963,796.32 × 411,890.40
  4. Step 4: Simplify right side
    698,436x = 396,978,451,763.33
  5. Step 5: Solve for x
    x = 396,978,451,763.33/698,436
  6. Step 6: Final answer
    x = 568,382.00

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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.