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Finding the Fourth Proportional to 613,843.16, 847,234.28 and 412,522.52

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Solution

The fourth proportional to 613,843.16, 847,234.28 and 412,522.52 is: 569,368.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    613,843.16 : 847,234.28 = 412,522.52 : x
  2. Step 2: Convert to fraction form
    613,843.16/847,234.28 = 412,522.52/x
  3. Step 3: Cross multiply
    613,843.16x = 847,234.28 × 412,522.52
  4. Step 4: Simplify right side
    613,843.16x = 349,503,220,215.99
  5. Step 5: Solve for x
    x = 349,503,220,215.99/613,843.16
  6. Step 6: Final answer
    x = 569,368.93

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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.