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Finding the Fourth Proportional to 470,561.07, 649,372.62 and 266,650.81

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Solution

The fourth proportional to 470,561.07, 649,372.62 and 266,650.81 is: 367,977.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,561.07 : 649,372.62 = 266,650.81 : x
  2. Step 2: Convert to fraction form
    470,561.07/649,372.62 = 266,650.81/x
  3. Step 3: Cross multiply
    470,561.07x = 649,372.62 × 266,650.81
  4. Step 4: Simplify right side
    470,561.07x = 173,155,735,567.74
  5. Step 5: Solve for x
    x = 173,155,735,567.74/470,561.07
  6. Step 6: Final answer
    x = 367,977.18

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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.