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Finding the Fourth Proportional to 299,327.58, 413,124.78 and 178,476.30

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Solution

The fourth proportional to 299,327.58, 413,124.78 and 178,476.30 is: 246,328.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,327.58 : 413,124.78 = 178,476.30 : x
  2. Step 2: Convert to fraction form
    299,327.58/413,124.78 = 178,476.30/x
  3. Step 3: Cross multiply
    299,327.58x = 413,124.78 × 178,476.30
  4. Step 4: Simplify right side
    299,327.58x = 73,732,982,172.71
  5. Step 5: Solve for x
    x = 73,732,982,172.71/299,327.58
  6. Step 6: Final answer
    x = 246,328.73

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.