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Finding the Fourth Proportional to 647,609.40, 971,414.10 and 411,413.40

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Solution

The fourth proportional to 647,609.40, 971,414.10 and 411,413.40 is: 617,120.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    647,609.40 : 971,414.10 = 411,413.40 : x
  2. Step 2: Convert to fraction form
    647,609.40/971,414.10 = 411,413.40/x
  3. Step 3: Cross multiply
    647,609.40x = 971,414.10 × 411,413.40
  4. Step 4: Simplify right side
    647,609.40x = 399,652,777,688.94
  5. Step 5: Solve for x
    x = 399,652,777,688.94/647,609.40
  6. Step 6: Final answer
    x = 617,120.10

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Double scale
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Similar ratio
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.