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Finding the Fourth Proportional to 466,596.24, 643,914.84 and 262,654.47

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Solution

The fourth proportional to 466,596.24, 643,914.84 and 262,654.47 is: 362,469.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    466,596.24 : 643,914.84 = 262,654.47 : x
  2. Step 2: Convert to fraction form
    466,596.24/643,914.84 = 262,654.47/x
  3. Step 3: Cross multiply
    466,596.24x = 643,914.84 × 262,654.47
  4. Step 4: Simplify right side
    466,596.24x = 169,127,111,025.34
  5. Step 5: Solve for x
    x = 169,127,111,025.34/466,596.24
  6. Step 6: Final answer
    x = 362,469.94

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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.