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Finding the Fourth Proportional to 338,613.01, 507,914.35 and 82,447.98

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Solution

The fourth proportional to 338,613.01, 507,914.35 and 82,447.98 is: 123,670.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    338,613.01 : 507,914.35 = 82,447.98 : x
  2. Step 2: Convert to fraction form
    338,613.01/507,914.35 = 82,447.98/x
  3. Step 3: Cross multiply
    338,613.01x = 507,914.35 × 82,447.98
  4. Step 4: Simplify right side
    338,613.01x = 41,876,510,059.71
  5. Step 5: Solve for x
    x = 41,876,510,059.71/338,613.01
  6. Step 6: Final answer
    x = 123,670.71

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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.