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Finding the Fourth Proportional to 412,049.04, 617,242.50 and 345,301.80

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Solution

The fourth proportional to 412,049.04, 617,242.50 and 345,301.80 is: 517,256.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    412,049.04 : 617,242.50 = 345,301.80 : x
  2. Step 2: Convert to fraction form
    412,049.04/617,242.50 = 345,301.80/x
  3. Step 3: Cross multiply
    412,049.04x = 617,242.50 × 345,301.80
  4. Step 4: Simplify right side
    412,049.04x = 213,134,946,286.50
  5. Step 5: Solve for x
    x = 213,134,946,286.50/412,049.04
  6. Step 6: Final answer
    x = 517,256.26

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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.