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Finding the Fourth Proportional to 461,493, 692,312.68 and 195,255.50

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Solution

The fourth proportional to 461,493, 692,312.68 and 195,255.50 is: 292,914.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    461,493 : 692,312.68 = 195,255.50 : x
  2. Step 2: Convert to fraction form
    461,493/692,312.68 = 195,255.50/x
  3. Step 3: Cross multiply
    461,493x = 692,312.68 × 195,255.50
  4. Step 4: Simplify right side
    461,493x = 135,177,858,489.74
  5. Step 5: Solve for x
    x = 135,177,858,489.74/461,493
  6. Step 6: Final answer
    x = 292,914.21

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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.