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Finding the Fourth Proportional to 331,303.36, 457,186.14 and 202,457.28

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Solution

The fourth proportional to 331,303.36, 457,186.14 and 202,457.28 is: 279,383.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    331,303.36 : 457,186.14 = 202,457.28 : x
  2. Step 2: Convert to fraction form
    331,303.36/457,186.14 = 202,457.28/x
  3. Step 3: Cross multiply
    331,303.36x = 457,186.14 × 202,457.28
  4. Step 4: Simplify right side
    331,303.36x = 92,560,662,358.10
  5. Step 5: Solve for x
    x = 92,560,662,358.10/331,303.36
  6. Step 6: Final answer
    x = 279,383.41

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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.