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Finding the Fourth Proportional to 304,651.90, 457,056.69 and 178,398.82

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Solution

The fourth proportional to 304,651.90, 457,056.69 and 178,398.82 is: 267,644.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    304,651.90 : 457,056.69 = 178,398.82 : x
  2. Step 2: Convert to fraction form
    304,651.90/457,056.69 = 178,398.82/x
  3. Step 3: Cross multiply
    304,651.90x = 457,056.69 × 178,398.82
  4. Step 4: Simplify right side
    304,651.90x = 81,538,374,169.11
  5. Step 5: Solve for x
    x = 81,538,374,169.11/304,651.90
  6. Step 6: Final answer
    x = 267,644.40

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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.