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Finding the Fourth Proportional to 296,003.88, 408,477.06 and 161,865

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Solution

The fourth proportional to 296,003.88, 408,477.06 and 161,865 is: 223,369.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,003.88 : 408,477.06 = 161,865 : x
  2. Step 2: Convert to fraction form
    296,003.88/408,477.06 = 161,865/x
  3. Step 3: Cross multiply
    296,003.88x = 408,477.06 × 161,865
  4. Step 4: Simplify right side
    296,003.88x = 66,118,139,316.90
  5. Step 5: Solve for x
    x = 66,118,139,316.90/296,003.88
  6. Step 6: Final answer
    x = 223,369.16

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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.