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Finding the Fourth Proportional to 304,649.40, 457,052.94 and 178,396.32

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Solution

The fourth proportional to 304,649.40, 457,052.94 and 178,396.32 is: 267,640.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    304,649.40 : 457,052.94 = 178,396.32 : x
  2. Step 2: Convert to fraction form
    304,649.40/457,052.94 = 178,396.32/x
  3. Step 3: Cross multiply
    304,649.40x = 457,052.94 × 178,396.32
  4. Step 4: Simplify right side
    304,649.40x = 81,536,562,541.18
  5. Step 5: Solve for x
    x = 81,536,562,541.18/304,649.40
  6. Step 6: Final answer
    x = 267,640.65

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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.