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Finding the Fourth Proportional to 299,036.41, 448,046.84 and 180,458.58

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Solution

The fourth proportional to 299,036.41, 448,046.84 and 180,458.58 is: 270,381.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,036.41 : 448,046.84 = 180,458.58 : x
  2. Step 2: Convert to fraction form
    299,036.41/448,046.84 = 180,458.58/x
  3. Step 3: Cross multiply
    299,036.41x = 448,046.84 × 180,458.58
  4. Step 4: Simplify right side
    299,036.41x = 80,853,898,651.21
  5. Step 5: Solve for x
    x = 80,853,898,651.21/299,036.41
  6. Step 6: Final answer
    x = 270,381.45

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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.