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Finding the Fourth Proportional to 273,276.18, 409,957.74 and 115,506

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Solution

The fourth proportional to 273,276.18, 409,957.74 and 115,506 is: 173,277.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    273,276.18 : 409,957.74 = 115,506 : x
  2. Step 2: Convert to fraction form
    273,276.18/409,957.74 = 115,506/x
  3. Step 3: Cross multiply
    273,276.18x = 409,957.74 × 115,506
  4. Step 4: Simplify right side
    273,276.18x = 47,352,578,716.44
  5. Step 5: Solve for x
    x = 47,352,578,716.44/273,276.18
  6. Step 6: Final answer
    x = 173,277.37

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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.