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Finding the Fourth Proportional to 420,590.28, 580,416.95 and 239,302.21

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Solution

The fourth proportional to 420,590.28, 580,416.95 and 239,302.21 is: 330,238.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    420,590.28 : 580,416.95 = 239,302.21 : x
  2. Step 2: Convert to fraction form
    420,590.28/580,416.95 = 239,302.21/x
  3. Step 3: Cross multiply
    420,590.28x = 580,416.95 × 239,302.21
  4. Step 4: Simplify right side
    420,590.28x = 138,895,058,856.46
  5. Step 5: Solve for x
    x = 138,895,058,856.46/420,590.28
  6. Step 6: Final answer
    x = 330,238.39

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Why These Related Problems?

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