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Finding the Fourth Proportional to 341,978.94, 512,977.17 and 162,022.23

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Solution

The fourth proportional to 341,978.94, 512,977.17 and 162,022.23 is: 243,037.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    341,978.94 : 512,977.17 = 162,022.23 : x
  2. Step 2: Convert to fraction form
    341,978.94/512,977.17 = 162,022.23/x
  3. Step 3: Cross multiply
    341,978.94x = 512,977.17 × 162,022.23
  4. Step 4: Simplify right side
    341,978.94x = 83,113,705,022.49
  5. Step 5: Solve for x
    x = 83,113,705,022.49/341,978.94
  6. Step 6: Final answer
    x = 243,037.50

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.