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Finding the Fourth Proportional to 510,464.10, 764,358.42 and 359,889.14

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Solution

The fourth proportional to 510,464.10, 764,358.42 and 359,889.14 is: 538,890.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    510,464.10 : 764,358.42 = 359,889.14 : x
  2. Step 2: Convert to fraction form
    510,464.10/764,358.42 = 359,889.14/x
  3. Step 3: Cross multiply
    510,464.10x = 764,358.42 × 359,889.14
  4. Step 4: Simplify right side
    510,464.10x = 275,084,294,425.56
  5. Step 5: Solve for x
    x = 275,084,294,425.56/510,464.10
  6. Step 6: Final answer
    x = 538,890.58

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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.