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Finding the Fourth Proportional to 461,709.70, 692,564.55 and 408,832.90

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Solution

The fourth proportional to 461,709.70, 692,564.55 and 408,832.90 is: 613,249.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    461,709.70 : 692,564.55 = 408,832.90 : x
  2. Step 2: Convert to fraction form
    461,709.70/692,564.55 = 408,832.90/x
  3. Step 3: Cross multiply
    461,709.70x = 692,564.55 × 408,832.90
  4. Step 4: Simplify right side
    461,709.70x = 283,143,173,413.70
  5. Step 5: Solve for x
    x = 283,143,173,413.70/461,709.70
  6. Step 6: Final answer
    x = 613,249.35

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Similar ratio
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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.