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Finding the Fourth Proportional to 470,306.66, 649,030.12 and 266,352.50

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Solution

The fourth proportional to 470,306.66, 649,030.12 and 266,352.50 is: 367,570.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,306.66 : 649,030.12 = 266,352.50 : x
  2. Step 2: Convert to fraction form
    470,306.66/649,030.12 = 266,352.50/x
  3. Step 3: Cross multiply
    470,306.66x = 649,030.12 × 266,352.50
  4. Step 4: Simplify right side
    470,306.66x = 172,870,795,993.99
  5. Step 5: Solve for x
    x = 172,870,795,993.99/470,306.66
  6. Step 6: Final answer
    x = 367,570.38

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.