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Finding the Fourth Proportional to 284,217.48, 392,206.34 and 161,698.32

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Solution

The fourth proportional to 284,217.48, 392,206.34 and 161,698.32 is: 223,135.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,217.48 : 392,206.34 = 161,698.32 : x
  2. Step 2: Convert to fraction form
    284,217.48/392,206.34 = 161,698.32/x
  3. Step 3: Cross multiply
    284,217.48x = 392,206.34 × 161,698.32
  4. Step 4: Simplify right side
    284,217.48x = 63,419,106,675.59
  5. Step 5: Solve for x
    x = 63,419,106,675.59/284,217.48
  6. Step 6: Final answer
    x = 223,135.84

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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.