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Finding the Fourth Proportional to 400,248.56, 599,583.89 and 325,453.16

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Solution

The fourth proportional to 400,248.56, 599,583.89 and 325,453.16 is: 487,538.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    400,248.56 : 599,583.89 = 325,453.16 : x
  2. Step 2: Convert to fraction form
    400,248.56/599,583.89 = 325,453.16/x
  3. Step 3: Cross multiply
    400,248.56x = 599,583.89 × 325,453.16
  4. Step 4: Simplify right side
    400,248.56x = 195,136,467,060.41
  5. Step 5: Solve for x
    x = 195,136,467,060.41/400,248.56
  6. Step 6: Final answer
    x = 487,538.22

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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.