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Finding the Fourth Proportional to 466,104, 643,224.24 and 264,900

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Solution

The fourth proportional to 466,104, 643,224.24 and 264,900 is: 365,562.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    466,104 : 643,224.24 = 264,900 : x
  2. Step 2: Convert to fraction form
    466,104/643,224.24 = 264,900/x
  3. Step 3: Cross multiply
    466,104x = 643,224.24 × 264,900
  4. Step 4: Simplify right side
    466,104x = 170,390,101,176
  5. Step 5: Solve for x
    x = 170,390,101,176/466,104
  6. Step 6: Final answer
    x = 365,562.41

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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.