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Finding the Fourth Proportional to 653,917.14, 902,486.28 and 367,431

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Solution

The fourth proportional to 653,917.14, 902,486.28 and 367,431 is: 507,100.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    653,917.14 : 902,486.28 = 367,431 : x
  2. Step 2: Convert to fraction form
    653,917.14/902,486.28 = 367,431/x
  3. Step 3: Cross multiply
    653,917.14x = 902,486.28 × 367,431
  4. Step 4: Simplify right side
    653,917.14x = 331,601,436,346.68
  5. Step 5: Solve for x
    x = 331,601,436,346.68/653,917.14
  6. Step 6: Final answer
    x = 507,100.08

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.