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Finding the Fourth Proportional to 310,498.42, 465,357.95 and 132,796.50

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Solution

The fourth proportional to 310,498.42, 465,357.95 and 132,796.50 is: 199,028.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,498.42 : 465,357.95 = 132,796.50 : x
  2. Step 2: Convert to fraction form
    310,498.42/465,357.95 = 132,796.50/x
  3. Step 3: Cross multiply
    310,498.42x = 465,357.95 × 132,796.50
  4. Step 4: Simplify right side
    310,498.42x = 61,797,907,007.18
  5. Step 5: Solve for x
    x = 61,797,907,007.18/310,498.42
  6. Step 6: Final answer
    x = 199,028.09

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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.