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Finding the Fourth Proportional to 318,024.42, 438,878.80 and 182,057.82

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Solution

The fourth proportional to 318,024.42, 438,878.80 and 182,057.82 is: 251,242.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    318,024.42 : 438,878.80 = 182,057.82 : x
  2. Step 2: Convert to fraction form
    318,024.42/438,878.80 = 182,057.82/x
  3. Step 3: Cross multiply
    318,024.42x = 438,878.80 × 182,057.82
  4. Step 4: Simplify right side
    318,024.42x = 79,901,317,572.22
  5. Step 5: Solve for x
    x = 79,901,317,572.22/318,024.42
  6. Step 6: Final answer
    x = 251,242.71

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.