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Finding the Fourth Proportional to 397,798.56, 548,962.08 and 218,950.56

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Solution

The fourth proportional to 397,798.56, 548,962.08 and 218,950.56 is: 302,151.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    397,798.56 : 548,962.08 = 218,950.56 : x
  2. Step 2: Convert to fraction form
    397,798.56/548,962.08 = 218,950.56/x
  3. Step 3: Cross multiply
    397,798.56x = 548,962.08 × 218,950.56
  4. Step 4: Simplify right side
    397,798.56x = 120,195,554,834.77
  5. Step 5: Solve for x
    x = 120,195,554,834.77/397,798.56
  6. Step 6: Final answer
    x = 302,151.81

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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.