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Finding the Fourth Proportional to 470,597.94, 649,391.04 and 266,652.90

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Solution

The fourth proportional to 470,597.94, 649,391.04 and 266,652.90 is: 367,961.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,597.94 : 649,391.04 = 266,652.90 : x
  2. Step 2: Convert to fraction form
    470,597.94/649,391.04 = 266,652.90/x
  3. Step 3: Cross multiply
    470,597.94x = 649,391.04 × 266,652.90
  4. Step 4: Simplify right side
    470,597.94x = 173,162,004,050.02
  5. Step 5: Solve for x
    x = 173,162,004,050.02/470,597.94
  6. Step 6: Final answer
    x = 367,961.67

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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.