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Finding the Fourth Proportional to 464,134.63, 640,505.79 and 262,930.63

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Solution

The fourth proportional to 464,134.63, 640,505.79 and 262,930.63 is: 362,844.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    464,134.63 : 640,505.79 = 262,930.63 : x
  2. Step 2: Convert to fraction form
    464,134.63/640,505.79 = 262,930.63/x
  3. Step 3: Cross multiply
    464,134.63x = 640,505.79 × 262,930.63
  4. Step 4: Simplify right side
    464,134.63x = 168,408,586,366.17
  5. Step 5: Solve for x
    x = 168,408,586,366.17/464,134.63
  6. Step 6: Final answer
    x = 362,844.26

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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.