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Finding the Fourth Proportional to 299,696.16, 413,580.69 and 165,560.16

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Solution

The fourth proportional to 299,696.16, 413,580.69 and 165,560.16 is: 228,473.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,696.16 : 413,580.69 = 165,560.16 : x
  2. Step 2: Convert to fraction form
    299,696.16/413,580.69 = 165,560.16/x
  3. Step 3: Cross multiply
    299,696.16x = 413,580.69 × 165,560.16
  4. Step 4: Simplify right side
    299,696.16x = 68,472,485,209.31
  5. Step 5: Solve for x
    x = 68,472,485,209.31/299,696.16
  6. Step 6: Final answer
    x = 228,473.01

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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.