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Finding the Fourth Proportional to 510,462.09, 764,355.42 and 359,887.14

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Solution

The fourth proportional to 510,462.09, 764,355.42 and 359,887.14 is: 538,887.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    510,462.09 : 764,355.42 = 359,887.14 : x
  2. Step 2: Convert to fraction form
    510,462.09/764,355.42 = 359,887.14/x
  3. Step 3: Cross multiply
    510,462.09x = 764,355.42 × 359,887.14
  4. Step 4: Simplify right side
    510,462.09x = 275,081,686,047.30
  5. Step 5: Solve for x
    x = 275,081,686,047.30/510,462.09
  6. Step 6: Final answer
    x = 538,887.59

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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.