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Finding the Fourth Proportional to 421,852.20, 631,856.70 and 327,618.60

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Solution

The fourth proportional to 421,852.20, 631,856.70 and 327,618.60 is: 490,712.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    421,852.20 : 631,856.70 = 327,618.60 : x
  2. Step 2: Convert to fraction form
    421,852.20/631,856.70 = 327,618.60/x
  3. Step 3: Cross multiply
    421,852.20x = 631,856.70 × 327,618.60
  4. Step 4: Simplify right side
    421,852.20x = 207,008,007,454.62
  5. Step 5: Solve for x
    x = 207,008,007,454.62/421,852.20
  6. Step 6: Final answer
    x = 490,712.17

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.