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Finding the Fourth Proportional to 508,112.68, 762,464.22 and 227,629.93

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Solution

The fourth proportional to 508,112.68, 762,464.22 and 227,629.93 is: 341,577.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    508,112.68 : 762,464.22 = 227,629.93 : x
  2. Step 2: Convert to fraction form
    508,112.68/762,464.22 = 227,629.93/x
  3. Step 3: Cross multiply
    508,112.68x = 762,464.22 × 227,629.93
  4. Step 4: Simplify right side
    508,112.68x = 173,559,677,026.11
  5. Step 5: Solve for x
    x = 173,559,677,026.11/508,112.68
  6. Step 6: Final answer
    x = 341,577.14

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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.