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Finding the Fourth Proportional to 296,711.56, 409,462.40 and 175,912

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Solution

The fourth proportional to 296,711.56, 409,462.40 and 175,912 is: 242,758.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,711.56 : 409,462.40 = 175,912 : x
  2. Step 2: Convert to fraction form
    296,711.56/409,462.40 = 175,912/x
  3. Step 3: Cross multiply
    296,711.56x = 409,462.40 × 175,912
  4. Step 4: Simplify right side
    296,711.56x = 72,029,349,708.80
  5. Step 5: Solve for x
    x = 72,029,349,708.80/296,711.56
  6. Step 6: Final answer
    x = 242,758.83

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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.