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Finding the Fourth Proportional to 335,028.45, 462,447.01 and 214,494.38

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Solution

The fourth proportional to 335,028.45, 462,447.01 and 214,494.38 is: 296,071.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    335,028.45 : 462,447.01 = 214,494.38 : x
  2. Step 2: Convert to fraction form
    335,028.45/462,447.01 = 214,494.38/x
  3. Step 3: Cross multiply
    335,028.45x = 462,447.01 × 214,494.38
  4. Step 4: Simplify right side
    335,028.45x = 99,192,281,308.10
  5. Step 5: Solve for x
    x = 99,192,281,308.10/335,028.45
  6. Step 6: Final answer
    x = 296,071.22

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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.