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Finding the Fourth Proportional to 506,928.34, 699,583.20 and 280,573.78

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Solution

The fourth proportional to 506,928.34, 699,583.20 and 280,573.78 is: 387,204.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    506,928.34 : 699,583.20 = 280,573.78 : x
  2. Step 2: Convert to fraction form
    506,928.34/699,583.20 = 280,573.78/x
  3. Step 3: Cross multiply
    506,928.34x = 699,583.20 × 280,573.78
  4. Step 4: Simplify right side
    506,928.34x = 196,284,702,848.50
  5. Step 5: Solve for x
    x = 196,284,702,848.50/506,928.34
  6. Step 6: Final answer
    x = 387,204.04

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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.