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Finding the Fourth Proportional to 510,041.46, 764,362.35 and 322,717.62

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Solution

The fourth proportional to 510,041.46, 764,362.35 and 322,717.62 is: 483,633.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    510,041.46 : 764,362.35 = 322,717.62 : x
  2. Step 2: Convert to fraction form
    510,041.46/764,362.35 = 322,717.62/x
  3. Step 3: Cross multiply
    510,041.46x = 764,362.35 × 322,717.62
  4. Step 4: Simplify right side
    510,041.46x = 246,673,198,409.61
  5. Step 5: Solve for x
    x = 246,673,198,409.61/510,041.46
  6. Step 6: Final answer
    x = 483,633.62

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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.