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Finding the Fourth Proportional to 274,330.88, 411,570.27 and 114,353.64

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Solution

The fourth proportional to 274,330.88, 411,570.27 and 114,353.64 is: 171,561.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    274,330.88 : 411,570.27 = 114,353.64 : x
  2. Step 2: Convert to fraction form
    274,330.88/411,570.27 = 114,353.64/x
  3. Step 3: Cross multiply
    274,330.88x = 411,570.27 × 114,353.64
  4. Step 4: Simplify right side
    274,330.88x = 47,064,558,490.28
  5. Step 5: Solve for x
    x = 47,064,558,490.28/274,330.88
  6. Step 6: Final answer
    x = 171,561.29

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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.