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Finding the Fourth Proportional to 500,269.85, 690,376.80 and 296,332.37

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Solution

The fourth proportional to 500,269.85, 690,376.80 and 296,332.37 is: 408,941.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    500,269.85 : 690,376.80 = 296,332.37 : x
  2. Step 2: Convert to fraction form
    500,269.85/690,376.80 = 296,332.37/x
  3. Step 3: Cross multiply
    500,269.85x = 690,376.80 × 296,332.37
  4. Step 4: Simplify right side
    500,269.85x = 204,580,989,885.13
  5. Step 5: Solve for x
    x = 204,580,989,885.13/500,269.85
  6. Step 6: Final answer
    x = 408,941.28

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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.