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Finding the Fourth Proportional to 409,445.97, 613,753.43 and 156,661.58

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Solution

The fourth proportional to 409,445.97, 613,753.43 and 156,661.58 is: 234,833.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,445.97 : 613,753.43 = 156,661.58 : x
  2. Step 2: Convert to fraction form
    409,445.97/613,753.43 = 156,661.58/x
  3. Step 3: Cross multiply
    409,445.97x = 613,753.43 × 156,661.58
  4. Step 4: Simplify right side
    409,445.97x = 96,151,578,222.14
  5. Step 5: Solve for x
    x = 96,151,578,222.14/409,445.97
  6. Step 6: Final answer
    x = 234,833.37

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.