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Finding the Fourth Proportional to 413,599.79, 620,442.82 and 114,080.42

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Solution

The fourth proportional to 413,599.79, 620,442.82 and 114,080.42 is: 171,132.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,599.79 : 620,442.82 = 114,080.42 : x
  2. Step 2: Convert to fraction form
    413,599.79/620,442.82 = 114,080.42/x
  3. Step 3: Cross multiply
    413,599.79x = 620,442.82 × 114,080.42
  4. Step 4: Simplify right side
    413,599.79x = 70,780,377,491.58
  5. Step 5: Solve for x
    x = 70,780,377,491.58/413,599.79
  6. Step 6: Final answer
    x = 171,132.53

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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.