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Finding the Fourth Proportional to 461,497.76, 692,319.83 and 195,260.25

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Solution

The fourth proportional to 461,497.76, 692,319.83 and 195,260.25 is: 292,921.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    461,497.76 : 692,319.83 = 195,260.25 : x
  2. Step 2: Convert to fraction form
    461,497.76/692,319.83 = 195,260.25/x
  3. Step 3: Cross multiply
    461,497.76x = 692,319.83 × 195,260.25
  4. Step 4: Simplify right side
    461,497.76x = 135,182,542,109.46
  5. Step 5: Solve for x
    x = 135,182,542,109.46/461,497.76
  6. Step 6: Final answer
    x = 292,921.34

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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.