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Finding the Fourth Proportional to 466,106, 643,227 and 264,902

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Solution

The fourth proportional to 466,106, 643,227 and 264,902 is: 365,565.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    466,106 : 643,227 = 264,902 : x
  2. Step 2: Convert to fraction form
    466,106/643,227 = 264,902/x
  3. Step 3: Cross multiply
    466,106x = 643,227 × 264,902
  4. Step 4: Simplify right side
    466,106x = 170,392,118,754
  5. Step 5: Solve for x
    x = 170,392,118,754/466,106
  6. Step 6: Final answer
    x = 365,565.17

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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.