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Finding the Fourth Proportional to 506,918.34, 699,569.40 and 280,563.78

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Solution

The fourth proportional to 506,918.34, 699,569.40 and 280,563.78 is: 387,190.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    506,918.34 : 699,569.40 = 280,563.78 : x
  2. Step 2: Convert to fraction form
    506,918.34/699,569.40 = 280,563.78/x
  3. Step 3: Cross multiply
    506,918.34x = 699,569.40 × 280,563.78
  4. Step 4: Simplify right side
    506,918.34x = 196,273,835,236.33
  5. Step 5: Solve for x
    x = 196,273,835,236.33/506,918.34
  6. Step 6: Final answer
    x = 387,190.24

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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.