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Finding the Fourth Proportional to 262,696, 362,520.48 and 143,464

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Solution

The fourth proportional to 262,696, 362,520.48 and 143,464 is: 197,980.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    262,696 : 362,520.48 = 143,464 : x
  2. Step 2: Convert to fraction form
    262,696/362,520.48 = 143,464/x
  3. Step 3: Cross multiply
    262,696x = 362,520.48 × 143,464
  4. Step 4: Simplify right side
    262,696x = 52,008,638,142.72
  5. Step 5: Solve for x
    x = 52,008,638,142.72/262,696
  6. Step 6: Final answer
    x = 197,980.32

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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.