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Finding the Fourth Proportional to 461,980.55, 692,850.47 and 195,603.95

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Solution

The fourth proportional to 461,980.55, 692,850.47 and 195,603.95 is: 293,354.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    461,980.55 : 692,850.47 = 195,603.95 : x
  2. Step 2: Convert to fraction form
    461,980.55/692,850.47 = 195,603.95/x
  3. Step 3: Cross multiply
    461,980.55x = 692,850.47 × 195,603.95
  4. Step 4: Simplify right side
    461,980.55x = 135,524,284,249.08
  5. Step 5: Solve for x
    x = 135,524,284,249.08/461,980.55
  6. Step 6: Final answer
    x = 293,354.96

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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.