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Finding the Fourth Proportional to 375,118.16, 517,652.91 and 213,969.81

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Solution

The fourth proportional to 375,118.16, 517,652.91 and 213,969.81 is: 295,272.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    375,118.16 : 517,652.91 = 213,969.81 : x
  2. Step 2: Convert to fraction form
    375,118.16/517,652.91 = 213,969.81/x
  3. Step 3: Cross multiply
    375,118.16x = 517,652.91 × 213,969.81
  4. Step 4: Simplify right side
    375,118.16x = 110,762,096,739.85
  5. Step 5: Solve for x
    x = 110,762,096,739.85/375,118.16
  6. Step 6: Final answer
    x = 295,272.56

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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.