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Finding the Fourth Proportional to 421,002.50, 580,984.06 and 239,714.50

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Solution

The fourth proportional to 421,002.50, 580,984.06 and 239,714.50 is: 330,806.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    421,002.50 : 580,984.06 = 239,714.50 : x
  2. Step 2: Convert to fraction form
    421,002.50/580,984.06 = 239,714.50/x
  3. Step 3: Cross multiply
    421,002.50x = 580,984.06 × 239,714.50
  4. Step 4: Simplify right side
    421,002.50x = 139,270,303,450.87
  5. Step 5: Solve for x
    x = 139,270,303,450.87/421,002.50
  6. Step 6: Final answer
    x = 330,806.36

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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.