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Finding the Fourth Proportional to 470,202.57, 648,919.76 and 266,289.57

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Solution

The fourth proportional to 470,202.57, 648,919.76 and 266,289.57 is: 367,502.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,202.57 : 648,919.76 = 266,289.57 : x
  2. Step 2: Convert to fraction form
    470,202.57/648,919.76 = 266,289.57/x
  3. Step 3: Cross multiply
    470,202.57x = 648,919.76 × 266,289.57
  4. Step 4: Simplify right side
    470,202.57x = 172,800,562,523.46
  5. Step 5: Solve for x
    x = 172,800,562,523.46/470,202.57
  6. Step 6: Final answer
    x = 367,502.38

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1.5x scale

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.