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Finding the Fourth Proportional to 394,058.64, 590,980.20 and 141,292.14

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Solution

The fourth proportional to 394,058.64, 590,980.20 and 141,292.14 is: 211,899.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    394,058.64 : 590,980.20 = 141,292.14 : x
  2. Step 2: Convert to fraction form
    394,058.64/590,980.20 = 141,292.14/x
  3. Step 3: Cross multiply
    394,058.64x = 590,980.20 × 141,292.14
  4. Step 4: Simplify right side
    394,058.64x = 83,500,857,155.63
  5. Step 5: Solve for x
    x = 83,500,857,155.63/394,058.64
  6. Step 6: Final answer
    x = 211,899.57

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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.