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Finding the Fourth Proportional to 371,024.96, 512,004.65 and 205,447.19

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Solution

The fourth proportional to 371,024.96, 512,004.65 and 205,447.19 is: 283,511.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    371,024.96 : 512,004.65 = 205,447.19 : x
  2. Step 2: Convert to fraction form
    371,024.96/512,004.65 = 205,447.19/x
  3. Step 3: Cross multiply
    371,024.96x = 512,004.65 × 205,447.19
  4. Step 4: Simplify right side
    371,024.96x = 105,189,913,022.17
  5. Step 5: Solve for x
    x = 105,189,913,022.17/371,024.96
  6. Step 6: Final answer
    x = 283,511.69

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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.