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Finding the Fourth Proportional to 522,523.64, 783,687.02 and 202,674.90

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Solution

The fourth proportional to 522,523.64, 783,687.02 and 202,674.90 is: 303,974.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    522,523.64 : 783,687.02 = 202,674.90 : x
  2. Step 2: Convert to fraction form
    522,523.64/783,687.02 = 202,674.90/x
  3. Step 3: Cross multiply
    522,523.64x = 783,687.02 × 202,674.90
  4. Step 4: Simplify right side
    522,523.64x = 158,833,688,409.80
  5. Step 5: Solve for x
    x = 158,833,688,409.80/522,523.64
  6. Step 6: Final answer
    x = 303,974.17

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.