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Finding the Fourth Proportional to 512,056.17, 706,723.79 and 297,375.93

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Solution

The fourth proportional to 512,056.17, 706,723.79 and 297,375.93 is: 410,428.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    512,056.17 : 706,723.79 = 297,375.93 : x
  2. Step 2: Convert to fraction form
    512,056.17/706,723.79 = 297,375.93/x
  3. Step 3: Cross multiply
    512,056.17x = 706,723.79 × 297,375.93
  4. Step 4: Simplify right side
    512,056.17x = 210,162,642,817.50
  5. Step 5: Solve for x
    x = 210,162,642,817.50/512,056.17
  6. Step 6: Final answer
    x = 410,428.88

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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.