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Finding the Fourth Proportional to 299,386.62, 413,153.91 and 165,250.62

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Solution

The fourth proportional to 299,386.62, 413,153.91 and 165,250.62 is: 228,046.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,386.62 : 413,153.91 = 165,250.62 : x
  2. Step 2: Convert to fraction form
    299,386.62/413,153.91 = 165,250.62/x
  3. Step 3: Cross multiply
    299,386.62x = 413,153.91 × 165,250.62
  4. Step 4: Simplify right side
    299,386.62x = 68,273,939,782.92
  5. Step 5: Solve for x
    x = 68,273,939,782.92/299,386.62
  6. Step 6: Final answer
    x = 228,046.06

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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.