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Finding the Fourth Proportional to 500,153.70, 690,187.23 and 285,285.78

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Solution

The fourth proportional to 500,153.70, 690,187.23 and 285,285.78 is: 393,680.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    500,153.70 : 690,187.23 = 285,285.78 : x
  2. Step 2: Convert to fraction form
    500,153.70/690,187.23 = 285,285.78/x
  3. Step 3: Cross multiply
    500,153.70x = 690,187.23 × 285,285.78
  4. Step 4: Simplify right side
    500,153.70x = 196,900,602,256.59
  5. Step 5: Solve for x
    x = 196,900,602,256.59/500,153.70
  6. Step 6: Final answer
    x = 393,680.19

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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.