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Finding the Fourth Proportional to 271,476.24, 407,389.32 and 105,264.24

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Solution

The fourth proportional to 271,476.24, 407,389.32 and 105,264.24 is: 157,964.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,476.24 : 407,389.32 = 105,264.24 : x
  2. Step 2: Convert to fraction form
    271,476.24/407,389.32 = 105,264.24/x
  3. Step 3: Cross multiply
    271,476.24x = 407,389.32 × 105,264.24
  4. Step 4: Simplify right side
    271,476.24x = 42,883,527,153.92
  5. Step 5: Solve for x
    x = 42,883,527,153.92/271,476.24
  6. Step 6: Final answer
    x = 157,964.20

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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.