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Finding the Fourth Proportional to 461,535.88, 692,303.74 and 195,227.24

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Solution

The fourth proportional to 461,535.88, 692,303.74 and 195,227.24 is: 292,840.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    461,535.88 : 692,303.74 = 195,227.24 : x
  2. Step 2: Convert to fraction form
    461,535.88/692,303.74 = 195,227.24/x
  3. Step 3: Cross multiply
    461,535.88x = 692,303.74 × 195,227.24
  4. Step 4: Simplify right side
    461,535.88x = 135,156,548,401.88
  5. Step 5: Solve for x
    x = 135,156,548,401.88/461,535.88
  6. Step 6: Final answer
    x = 292,840.83

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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.