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Finding the Fourth Proportional to 500,058.10, 690,178.54 and 378,988.21

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Solution

The fourth proportional to 500,058.10, 690,178.54 and 378,988.21 is: 523,078.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    500,058.10 : 690,178.54 = 378,988.21 : x
  2. Step 2: Convert to fraction form
    500,058.10/690,178.54 = 378,988.21/x
  3. Step 3: Cross multiply
    500,058.10x = 690,178.54 × 378,988.21
  4. Step 4: Simplify right side
    500,058.10x = 261,569,526,004.12
  5. Step 5: Solve for x
    x = 261,569,526,004.12/500,058.10
  6. Step 6: Final answer
    x = 523,078.28

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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.