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Finding the Fourth Proportional to 512,244.51, 707,136.62 and 297,343.21

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Solution

The fourth proportional to 512,244.51, 707,136.62 and 297,343.21 is: 410,472.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    512,244.51 : 707,136.62 = 297,343.21 : x
  2. Step 2: Convert to fraction form
    512,244.51/707,136.62 = 297,343.21/x
  3. Step 3: Cross multiply
    512,244.51x = 707,136.62 × 297,343.21
  4. Step 4: Simplify right side
    512,244.51x = 210,262,269,244.79
  5. Step 5: Solve for x
    x = 210,262,269,244.79/512,244.51
  6. Step 6: Final answer
    x = 410,472.47

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1.5x scale

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.