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Finding the Fourth Proportional to 307,327.38, 460,974.47 and 117,878.51

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Solution

The fourth proportional to 307,327.38, 460,974.47 and 117,878.51 is: 176,811.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    307,327.38 : 460,974.47 = 117,878.51 : x
  2. Step 2: Convert to fraction form
    307,327.38/460,974.47 = 117,878.51/x
  3. Step 3: Cross multiply
    307,327.38x = 460,974.47 × 117,878.51
  4. Step 4: Simplify right side
    307,327.38x = 54,338,980,777.37
  5. Step 5: Solve for x
    x = 54,338,980,777.37/307,327.38
  6. Step 6: Final answer
    x = 176,811.39

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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.