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Finding the Fourth Proportional to 299,423.46, 413,165.16 and 178,578.93

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Solution

The fourth proportional to 299,423.46, 413,165.16 and 178,578.93 is: 246,415.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,423.46 : 413,165.16 = 178,578.93 : x
  2. Step 2: Convert to fraction form
    299,423.46/413,165.16 = 178,578.93/x
  3. Step 3: Cross multiply
    299,423.46x = 413,165.16 × 178,578.93
  4. Step 4: Simplify right side
    299,423.46x = 73,782,592,186.08
  5. Step 5: Solve for x
    x = 73,782,592,186.08/299,423.46
  6. Step 6: Final answer
    x = 246,415.54

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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.