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Finding the Fourth Proportional to 465,307.60, 697,961.40 and 132,840.40

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Solution

The fourth proportional to 465,307.60, 697,961.40 and 132,840.40 is: 199,260.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    465,307.60 : 697,961.40 = 132,840.40 : x
  2. Step 2: Convert to fraction form
    465,307.60/697,961.40 = 132,840.40/x
  3. Step 3: Cross multiply
    465,307.60x = 697,961.40 × 132,840.40
  4. Step 4: Simplify right side
    465,307.60x = 92,717,471,560.56
  5. Step 5: Solve for x
    x = 92,717,471,560.56/465,307.60
  6. Step 6: Final answer
    x = 199,260.60

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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.