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Finding the Fourth Proportional to 464,081.49, 640,288.67 and 260,104.10

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Solution

The fourth proportional to 464,081.49, 640,288.67 and 260,104.10 is: 358,863.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    464,081.49 : 640,288.67 = 260,104.10 : x
  2. Step 2: Convert to fraction form
    464,081.49/640,288.67 = 260,104.10/x
  3. Step 3: Cross multiply
    464,081.49x = 640,288.67 × 260,104.10
  4. Step 4: Simplify right side
    464,081.49x = 166,541,703,748.58
  5. Step 5: Solve for x
    x = 166,541,703,748.58/464,081.49
  6. Step 6: Final answer
    x = 358,863.06

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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.