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Finding the Fourth Proportional to 284,493.30, 392,608.69 and 157,177.09

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Solution

The fourth proportional to 284,493.30, 392,608.69 and 157,177.09 is: 216,908.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,493.30 : 392,608.69 = 157,177.09 : x
  2. Step 2: Convert to fraction form
    284,493.30/392,608.69 = 157,177.09/x
  3. Step 3: Cross multiply
    284,493.30x = 392,608.69 × 157,177.09
  4. Step 4: Simplify right side
    284,493.30x = 61,709,091,500.73
  5. Step 5: Solve for x
    x = 61,709,091,500.73/284,493.30
  6. Step 6: Final answer
    x = 216,908.77

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.