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Finding the Fourth Proportional to 506,712.34, 699,252.24 and 277,268.68

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Solution

The fourth proportional to 506,712.34, 699,252.24 and 277,268.68 is: 382,624.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    506,712.34 : 699,252.24 = 277,268.68 : x
  2. Step 2: Convert to fraction form
    506,712.34/699,252.24 = 277,268.68/x
  3. Step 3: Cross multiply
    506,712.34x = 699,252.24 × 277,268.68
  4. Step 4: Simplify right side
    506,712.34x = 193,880,745,571.84
  5. Step 5: Solve for x
    x = 193,880,745,571.84/506,712.34
  6. Step 6: Final answer
    x = 382,624.87

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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.