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Finding the Fourth Proportional to 475,869.50, 713,770.85 and 223,205.40

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Solution

The fourth proportional to 475,869.50, 713,770.85 and 223,205.40 is: 334,792.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    475,869.50 : 713,770.85 = 223,205.40 : x
  2. Step 2: Convert to fraction form
    475,869.50/713,770.85 = 223,205.40/x
  3. Step 3: Cross multiply
    475,869.50x = 713,770.85 × 223,205.40
  4. Step 4: Simplify right side
    475,869.50x = 159,317,508,082.59
  5. Step 5: Solve for x
    x = 159,317,508,082.59/475,869.50
  6. Step 6: Final answer
    x = 334,792.43

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