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Finding the Fourth Proportional to 287,938.50, 397,355.49 and 160,622.16

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Solution

The fourth proportional to 287,938.50, 397,355.49 and 160,622.16 is: 221,658.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,938.50 : 397,355.49 = 160,622.16 : x
  2. Step 2: Convert to fraction form
    287,938.50/397,355.49 = 160,622.16/x
  3. Step 3: Cross multiply
    287,938.50x = 397,355.49 × 160,622.16
  4. Step 4: Simplify right side
    287,938.50x = 63,824,097,091.66
  5. Step 5: Solve for x
    x = 63,824,097,091.66/287,938.50
  6. Step 6: Final answer
    x = 221,658.78

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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.