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Finding the Fourth Proportional to 314,057.39, 433,359.86 and 212,304.24

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Solution

The fourth proportional to 314,057.39, 433,359.86 and 212,304.24 is: 292,953.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,057.39 : 433,359.86 = 212,304.24 : x
  2. Step 2: Convert to fraction form
    314,057.39/433,359.86 = 212,304.24/x
  3. Step 3: Cross multiply
    314,057.39x = 433,359.86 × 212,304.24
  4. Step 4: Simplify right side
    314,057.39x = 92,004,134,662.29
  5. Step 5: Solve for x
    x = 92,004,134,662.29/314,057.39
  6. Step 6: Final answer
    x = 292,953.26

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.