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Finding the Fourth Proportional to 470,455.49, 649,085.55 and 266,474

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Solution

The fourth proportional to 470,455.49, 649,085.55 and 266,474 is: 367,653.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,455.49 : 649,085.55 = 266,474 : x
  2. Step 2: Convert to fraction form
    470,455.49/649,085.55 = 266,474/x
  3. Step 3: Cross multiply
    470,455.49x = 649,085.55 × 266,474
  4. Step 4: Simplify right side
    470,455.49x = 172,964,422,850.70
  5. Step 5: Solve for x
    x = 172,964,422,850.70/470,455.49
  6. Step 6: Final answer
    x = 367,653.11

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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.