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Finding the Fourth Proportional to 310,032.60, 465,092.10 and 132,538.20

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Solution

The fourth proportional to 310,032.60, 465,092.10 and 132,538.20 is: 198,825.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,032.60 : 465,092.10 = 132,538.20 : x
  2. Step 2: Convert to fraction form
    310,032.60/465,092.10 = 132,538.20/x
  3. Step 3: Cross multiply
    310,032.60x = 465,092.10 × 132,538.20
  4. Step 4: Simplify right side
    310,032.60x = 61,642,469,768.22
  5. Step 5: Solve for x
    x = 61,642,469,768.22/310,032.60
  6. Step 6: Final answer
    x = 198,825.77

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1.5x scale

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.