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Finding the Fourth Proportional to 310,613.48, 465,942.50 and 82,907.90

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Solution

The fourth proportional to 310,613.48, 465,942.50 and 82,907.90 is: 124,367.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,613.48 : 465,942.50 = 82,907.90 : x
  2. Step 2: Convert to fraction form
    310,613.48/465,942.50 = 82,907.90/x
  3. Step 3: Cross multiply
    310,613.48x = 465,942.50 × 82,907.90
  4. Step 4: Simplify right side
    310,613.48x = 38,630,314,195.75
  5. Step 5: Solve for x
    x = 38,630,314,195.75/310,613.48
  6. Step 6: Final answer
    x = 124,367.80

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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.