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Finding the Fourth Proportional to 509,747.40, 764,621.10 and 341,785.80

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Solution

The fourth proportional to 509,747.40, 764,621.10 and 341,785.80 is: 512,678.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    509,747.40 : 764,621.10 = 341,785.80 : x
  2. Step 2: Convert to fraction form
    509,747.40/764,621.10 = 341,785.80/x
  3. Step 3: Cross multiply
    509,747.40x = 764,621.10 × 341,785.80
  4. Step 4: Simplify right side
    509,747.40x = 261,336,634,360.38
  5. Step 5: Solve for x
    x = 261,336,634,360.38/509,747.40
  6. Step 6: Final answer
    x = 512,678.70

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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.