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Finding the Fourth Proportional to 307,428.86, 461,218.32 and 117,885.84

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Solution

The fourth proportional to 307,428.86, 461,218.32 and 117,885.84 is: 176,857.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    307,428.86 : 461,218.32 = 117,885.84 : x
  2. Step 2: Convert to fraction form
    307,428.86/461,218.32 = 117,885.84/x
  3. Step 3: Cross multiply
    307,428.86x = 461,218.32 × 117,885.84
  4. Step 4: Simplify right side
    307,428.86x = 54,371,109,076.59
  5. Step 5: Solve for x
    x = 54,371,109,076.59/307,428.86
  6. Step 6: Final answer
    x = 176,857.53

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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.