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Finding the Fourth Proportional to 470,337.45, 649,119.53 and 263,661.66

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Solution

The fourth proportional to 470,337.45, 649,119.53 and 263,661.66 is: 363,883.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,337.45 : 649,119.53 = 263,661.66 : x
  2. Step 2: Convert to fraction form
    470,337.45/649,119.53 = 263,661.66/x
  3. Step 3: Cross multiply
    470,337.45x = 649,119.53 × 263,661.66
  4. Step 4: Simplify right side
    470,337.45x = 171,147,931,499.91
  5. Step 5: Solve for x
    x = 171,147,931,499.91/470,337.45
  6. Step 6: Final answer
    x = 363,883.27

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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.