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Finding the Fourth Proportional to 506,938.23, 699,585.68 and 280,583.73

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Solution

The fourth proportional to 506,938.23, 699,585.68 and 280,583.73 is: 387,211.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    506,938.23 : 699,585.68 = 280,583.73 : x
  2. Step 2: Convert to fraction form
    506,938.23/699,585.68 = 280,583.73/x
  3. Step 3: Cross multiply
    506,938.23x = 699,585.68 × 280,583.73
  4. Step 4: Simplify right side
    506,938.23x = 196,292,360,250.45
  5. Step 5: Solve for x
    x = 196,292,360,250.45/506,938.23
  6. Step 6: Final answer
    x = 387,211.59

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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.