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Finding the Fourth Proportional to 285,280.04, 393,692.64 and 156,224

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Solution

The fourth proportional to 285,280.04, 393,692.64 and 156,224 is: 215,592.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,280.04 : 393,692.64 = 156,224 : x
  2. Step 2: Convert to fraction form
    285,280.04/393,692.64 = 156,224/x
  3. Step 3: Cross multiply
    285,280.04x = 393,692.64 × 156,224
  4. Step 4: Simplify right side
    285,280.04x = 61,504,238,991.36
  5. Step 5: Solve for x
    x = 61,504,238,991.36/285,280.04
  6. Step 6: Final answer
    x = 215,592.51

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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.