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Finding the Fourth Proportional to 466,416.91, 643,647.75 and 262,467.70

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Solution

The fourth proportional to 466,416.91, 643,647.75 and 262,467.70 is: 362,201.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    466,416.91 : 643,647.75 = 262,467.70 : x
  2. Step 2: Convert to fraction form
    466,416.91/643,647.75 = 262,467.70/x
  3. Step 3: Cross multiply
    466,416.91x = 643,647.75 × 262,467.70
  4. Step 4: Simplify right side
    466,416.91x = 168,936,744,552.68
  5. Step 5: Solve for x
    x = 168,936,744,552.68/466,416.91
  6. Step 6: Final answer
    x = 362,201.16

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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.