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Finding the Fourth Proportional to 296,887.30, 409,694.50 and 175,956.80

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Solution

The fourth proportional to 296,887.30, 409,694.50 and 175,956.80 is: 242,814.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,887.30 : 409,694.50 = 175,956.80 : x
  2. Step 2: Convert to fraction form
    296,887.30/409,694.50 = 175,956.80/x
  3. Step 3: Cross multiply
    296,887.30x = 409,694.50 × 175,956.80
  4. Step 4: Simplify right side
    296,887.30x = 72,088,531,369.07
  5. Step 5: Solve for x
    x = 72,088,531,369.07/296,887.30
  6. Step 6: Final answer
    x = 242,814.47

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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.