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Finding the Fourth Proportional to 299,577.16, 413,418.90 and 165,441.16

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Solution

The fourth proportional to 299,577.16, 413,418.90 and 165,441.16 is: 228,310.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,577.16 : 413,418.90 = 165,441.16 : x
  2. Step 2: Convert to fraction form
    299,577.16/413,418.90 = 165,441.16/x
  3. Step 3: Cross multiply
    299,577.16x = 413,418.90 × 165,441.16
  4. Step 4: Simplify right side
    299,577.16x = 68,396,502,381.92
  5. Step 5: Solve for x
    x = 68,396,502,381.92/299,577.16
  6. Step 6: Final answer
    x = 228,310.14

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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.