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Finding the Fourth Proportional to 698,242.56, 963,684.18 and 411,794.16

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Solution

The fourth proportional to 698,242.56, 963,684.18 and 411,794.16 is: 568,340.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    698,242.56 : 963,684.18 = 411,794.16 : x
  2. Step 2: Convert to fraction form
    698,242.56/963,684.18 = 411,794.16/x
  3. Step 3: Cross multiply
    698,242.56x = 963,684.18 × 411,794.16
  4. Step 4: Simplify right side
    698,242.56x = 396,839,517,408.39
  5. Step 5: Solve for x
    x = 396,839,517,408.39/698,242.56
  6. Step 6: Final answer
    x = 568,340.49

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Double scale
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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.