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Finding the Fourth Proportional to 461,498.76, 692,321.33 and 195,261.25

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Solution

The fourth proportional to 461,498.76, 692,321.33 and 195,261.25 is: 292,922.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    461,498.76 : 692,321.33 = 195,261.25 : x
  2. Step 2: Convert to fraction form
    461,498.76/692,321.33 = 195,261.25/x
  3. Step 3: Cross multiply
    461,498.76x = 692,321.33 × 195,261.25
  4. Step 4: Simplify right side
    461,498.76x = 135,183,528,297.46
  5. Step 5: Solve for x
    x = 135,183,528,297.46/461,498.76
  6. Step 6: Final answer
    x = 292,922.84

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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.