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Finding the Fourth Proportional to 521,238.50, 719,304.27 and 294,884

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Solution

The fourth proportional to 521,238.50, 719,304.27 and 294,884 is: 406,937.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    521,238.50 : 719,304.27 = 294,884 : x
  2. Step 2: Convert to fraction form
    521,238.50/719,304.27 = 294,884/x
  3. Step 3: Cross multiply
    521,238.50x = 719,304.27 × 294,884
  4. Step 4: Simplify right side
    521,238.50x = 212,111,320,354.68
  5. Step 5: Solve for x
    x = 212,111,320,354.68/521,238.50
  6. Step 6: Final answer
    x = 406,937.17

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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.