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Finding the Fourth Proportional to 483,211.10, 724,816.65 and 413,227.10

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Solution

The fourth proportional to 483,211.10, 724,816.65 and 413,227.10 is: 619,840.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    483,211.10 : 724,816.65 = 413,227.10 : x
  2. Step 2: Convert to fraction form
    483,211.10/724,816.65 = 413,227.10/x
  3. Step 3: Cross multiply
    483,211.10x = 724,816.65 × 413,227.10
  4. Step 4: Simplify right side
    483,211.10x = 299,513,882,311.22
  5. Step 5: Solve for x
    x = 299,513,882,311.22/483,211.10
  6. Step 6: Final answer
    x = 619,840.65

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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.