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Finding the Fourth Proportional to 304,651.65, 457,056.32 and 178,398.57

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Solution

The fourth proportional to 304,651.65, 457,056.32 and 178,398.57 is: 267,644.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    304,651.65 : 457,056.32 = 178,398.57 : x
  2. Step 2: Convert to fraction form
    304,651.65/457,056.32 = 178,398.57/x
  3. Step 3: Cross multiply
    304,651.65x = 457,056.32 × 178,398.57
  4. Step 4: Simplify right side
    304,651.65x = 81,538,193,005.47
  5. Step 5: Solve for x
    x = 81,538,193,005.47/304,651.65
  6. Step 6: Final answer
    x = 267,644.02

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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.