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Finding the Fourth Proportional to 420,809.90, 580,721.38 and 239,533.50

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Solution

The fourth proportional to 420,809.90, 580,721.38 and 239,533.50 is: 330,558.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    420,809.90 : 580,721.38 = 239,533.50 : x
  2. Step 2: Convert to fraction form
    420,809.90/580,721.38 = 239,533.50/x
  3. Step 3: Cross multiply
    420,809.90x = 580,721.38 × 239,533.50
  4. Step 4: Simplify right side
    420,809.90x = 139,102,224,676.23
  5. Step 5: Solve for x
    x = 139,102,224,676.23/420,809.90
  6. Step 6: Final answer
    x = 330,558.35

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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.