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Finding the Fourth Proportional to 464,093.43, 640,488.11 and 260,141.10

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Solution

The fourth proportional to 464,093.43, 640,488.11 and 260,141.10 is: 359,016.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    464,093.43 : 640,488.11 = 260,141.10 : x
  2. Step 2: Convert to fraction form
    464,093.43/640,488.11 = 260,141.10/x
  3. Step 3: Cross multiply
    464,093.43x = 640,488.11 × 260,141.10
  4. Step 4: Simplify right side
    464,093.43x = 166,617,280,171.62
  5. Step 5: Solve for x
    x = 166,617,280,171.62/464,093.43
  6. Step 6: Final answer
    x = 359,016.68

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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.