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Finding the Fourth Proportional to 512,817.36, 707,574.30 and 295,012.66

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Solution

The fourth proportional to 512,817.36, 707,574.30 and 295,012.66 is: 407,052.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    512,817.36 : 707,574.30 = 295,012.66 : x
  2. Step 2: Convert to fraction form
    512,817.36/707,574.30 = 295,012.66/x
  3. Step 3: Cross multiply
    512,817.36x = 707,574.30 × 295,012.66
  4. Step 4: Simplify right side
    512,817.36x = 208,743,376,390.64
  5. Step 5: Solve for x
    x = 208,743,376,390.64/512,817.36
  6. Step 6: Final answer
    x = 407,052.09

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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.