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Finding the Fourth Proportional to 354,429.52, 531,042.48 and 213,892.84

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Solution

The fourth proportional to 354,429.52, 531,042.48 and 213,892.84 is: 320,476.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    354,429.52 : 531,042.48 = 213,892.84 : x
  2. Step 2: Convert to fraction form
    354,429.52/531,042.48 = 213,892.84/x
  3. Step 3: Cross multiply
    354,429.52x = 531,042.48 × 213,892.84
  4. Step 4: Simplify right side
    354,429.52x = 113,586,184,207.84
  5. Step 5: Solve for x
    x = 113,586,184,207.84/354,429.52
  6. Step 6: Final answer
    x = 320,476.08

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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.