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Finding the Fourth Proportional to 299,373.03, 413,124.50 and 178,451.98

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Solution

The fourth proportional to 299,373.03, 413,124.50 and 178,451.98 is: 246,257.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,373.03 : 413,124.50 = 178,451.98 : x
  2. Step 2: Convert to fraction form
    299,373.03/413,124.50 = 178,451.98/x
  3. Step 3: Cross multiply
    299,373.03x = 413,124.50 × 178,451.98
  4. Step 4: Simplify right side
    299,373.03x = 73,722,884,424.83
  5. Step 5: Solve for x
    x = 73,722,884,424.83/299,373.03
  6. Step 6: Final answer
    x = 246,257.60

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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.