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Finding the Fourth Proportional to 310,538.67, 465,830.16 and 82,833.02

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Solution

The fourth proportional to 310,538.67, 465,830.16 and 82,833.02 is: 124,255.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,538.67 : 465,830.16 = 82,833.02 : x
  2. Step 2: Convert to fraction form
    310,538.67/465,830.16 = 82,833.02/x
  3. Step 3: Cross multiply
    310,538.67x = 465,830.16 × 82,833.02
  4. Step 4: Simplify right side
    310,538.67x = 38,586,118,959.88
  5. Step 5: Solve for x
    x = 38,586,118,959.88/310,538.67
  6. Step 6: Final answer
    x = 124,255.44

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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.