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Finding the Fourth Proportional to 299,443.34, 413,231.90 and 165,307.34

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Solution

The fourth proportional to 299,443.34, 413,231.90 and 165,307.34 is: 228,124.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,443.34 : 413,231.90 = 165,307.34 : x
  2. Step 2: Convert to fraction form
    299,443.34/413,231.90 = 165,307.34/x
  3. Step 3: Cross multiply
    299,443.34x = 413,231.90 × 165,307.34
  4. Step 4: Simplify right side
    299,443.34x = 68,310,266,192.15
  5. Step 5: Solve for x
    x = 68,310,266,192.15/299,443.34
  6. Step 6: Final answer
    x = 228,124.18

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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.