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Finding the Fourth Proportional to 616,133.98, 850,234.32 and 344,147.68

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Solution

The fourth proportional to 616,133.98, 850,234.32 and 344,147.68 is: 474,906.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    616,133.98 : 850,234.32 = 344,147.68 : x
  2. Step 2: Convert to fraction form
    616,133.98/850,234.32 = 344,147.68/x
  3. Step 3: Cross multiply
    616,133.98x = 850,234.32 × 344,147.68
  4. Step 4: Simplify right side
    616,133.98x = 292,606,168,684.38
  5. Step 5: Solve for x
    x = 292,606,168,684.38/616,133.98
  6. Step 6: Final answer
    x = 474,906.72

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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.