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Finding the Fourth Proportional to 466,048.92, 643,141.40 and 262,099.80

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Solution

The fourth proportional to 466,048.92, 643,141.40 and 262,099.80 is: 361,694.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    466,048.92 : 643,141.40 = 262,099.80 : x
  2. Step 2: Convert to fraction form
    466,048.92/643,141.40 = 262,099.80/x
  3. Step 3: Cross multiply
    466,048.92x = 643,141.40 × 262,099.80
  4. Step 4: Simplify right side
    466,048.92x = 168,567,232,311.72
  5. Step 5: Solve for x
    x = 168,567,232,311.72/466,048.92
  6. Step 6: Final answer
    x = 361,694.29

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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.