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Finding the Fourth Proportional to 613,844.16, 847,235.66 and 412,523.52

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Solution

The fourth proportional to 613,844.16, 847,235.66 and 412,523.52 is: 569,370.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    613,844.16 : 847,235.66 = 412,523.52 : x
  2. Step 2: Convert to fraction form
    613,844.16/847,235.66 = 412,523.52/x
  3. Step 3: Cross multiply
    613,844.16x = 847,235.66 × 412,523.52
  4. Step 4: Simplify right side
    613,844.16x = 349,504,636,732.72
  5. Step 5: Solve for x
    x = 349,504,636,732.72/613,844.16
  6. Step 6: Final answer
    x = 569,370.31

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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.