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Finding the Fourth Proportional to 510,041.96, 764,363.10 and 322,718.12

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Solution

The fourth proportional to 510,041.96, 764,363.10 and 322,718.12 is: 483,634.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    510,041.96 : 764,363.10 = 322,718.12 : x
  2. Step 2: Convert to fraction form
    510,041.96/764,363.10 = 322,718.12/x
  3. Step 3: Cross multiply
    510,041.96x = 764,363.10 × 322,718.12
  4. Step 4: Simplify right side
    510,041.96x = 246,673,822,629.37
  5. Step 5: Solve for x
    x = 246,673,822,629.37/510,041.96
  6. Step 6: Final answer
    x = 483,634.37

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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.