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Finding the Fourth Proportional to 254,588.93, 381,883.34 and 65,049.65

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Solution

The fourth proportional to 254,588.93, 381,883.34 and 65,049.65 is: 97,574.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    254,588.93 : 381,883.34 = 65,049.65 : x
  2. Step 2: Convert to fraction form
    254,588.93/381,883.34 = 65,049.65/x
  3. Step 3: Cross multiply
    254,588.93x = 381,883.34 × 65,049.65
  4. Step 4: Simplify right side
    254,588.93x = 24,841,379,441.19
  5. Step 5: Solve for x
    x = 24,841,379,441.19/254,588.93
  6. Step 6: Final answer
    x = 97,574.47

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.