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Finding the Fourth Proportional to 500,386.32, 690,523.25 and 285,491.70

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Solution

The fourth proportional to 500,386.32, 690,523.25 and 285,491.70 is: 393,972.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    500,386.32 : 690,523.25 = 285,491.70 : x
  2. Step 2: Convert to fraction form
    500,386.32/690,523.25 = 285,491.70/x
  3. Step 3: Cross multiply
    500,386.32x = 690,523.25 × 285,491.70
  4. Step 4: Simplify right side
    500,386.32x = 197,138,655,104.57
  5. Step 5: Solve for x
    x = 197,138,655,104.57/500,386.32
  6. Step 6: Final answer
    x = 393,972.91

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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.