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Finding the Fourth Proportional to 309,458.82, 464,222.94 and 277,673.47

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Solution

The fourth proportional to 309,458.82, 464,222.94 and 277,673.47 is: 416,541.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    309,458.82 : 464,222.94 = 277,673.47 : x
  2. Step 2: Convert to fraction form
    309,458.82/464,222.94 = 277,673.47/x
  3. Step 3: Cross multiply
    309,458.82x = 464,222.94 × 277,673.47
  4. Step 4: Simplify right side
    309,458.82x = 128,902,394,603.40
  5. Step 5: Solve for x
    x = 128,902,394,603.40/309,458.82
  6. Step 6: Final answer
    x = 416,541.35

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.