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Finding the Fourth Proportional to 274,322.28, 411,109.81 and 154,436.41

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Solution

The fourth proportional to 274,322.28, 411,109.81 and 154,436.41 is: 231,444.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    274,322.28 : 411,109.81 = 154,436.41 : x
  2. Step 2: Convert to fraction form
    274,322.28/411,109.81 = 154,436.41/x
  3. Step 3: Cross multiply
    274,322.28x = 411,109.81 × 154,436.41
  4. Step 4: Simplify right side
    274,322.28x = 63,490,323,172.18
  5. Step 5: Solve for x
    x = 63,490,323,172.18/274,322.28
  6. Step 6: Final answer
    x = 231,444.28

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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.