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Finding the Fourth Proportional to 501,431.44, 752,368.51 and 202,495.87

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Solution

The fourth proportional to 501,431.44, 752,368.51 and 202,495.87 is: 303,833.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    501,431.44 : 752,368.51 = 202,495.87 : x
  2. Step 2: Convert to fraction form
    501,431.44/752,368.51 = 202,495.87/x
  3. Step 3: Cross multiply
    501,431.44x = 752,368.51 × 202,495.87
  4. Step 4: Simplify right side
    501,431.44x = 152,351,515,993.05
  5. Step 5: Solve for x
    x = 152,351,515,993.05/501,431.44
  6. Step 6: Final answer
    x = 303,833.19

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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.