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Finding the Fourth Proportional to 296,927.91, 409,782.24 and 169,600.77

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Solution

The fourth proportional to 296,927.91, 409,782.24 and 169,600.77 is: 234,061.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,927.91 : 409,782.24 = 169,600.77 : x
  2. Step 2: Convert to fraction form
    296,927.91/409,782.24 = 169,600.77/x
  3. Step 3: Cross multiply
    296,927.91x = 409,782.24 × 169,600.77
  4. Step 4: Simplify right side
    296,927.91x = 69,499,383,436.32
  5. Step 5: Solve for x
    x = 69,499,383,436.32/296,927.91
  6. Step 6: Final answer
    x = 234,061.47

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.