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Finding the Fourth Proportional to 296,894.57, 409,704.21 and 175,964.00

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Solution

The fourth proportional to 296,894.57, 409,704.21 and 175,964.00 is: 242,824.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,894.57 : 409,704.21 = 175,964.00 : x
  2. Step 2: Convert to fraction form
    296,894.57/409,704.21 = 175,964.00/x
  3. Step 3: Cross multiply
    296,894.57x = 409,704.21 × 175,964.00
  4. Step 4: Simplify right side
    296,894.57x = 72,093,189,559.92
  5. Step 5: Solve for x
    x = 72,093,189,559.92/296,894.57
  6. Step 6: Final answer
    x = 242,824.21

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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.