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Finding the Fourth Proportional to 493,290.50, 680,741.50 and 266,936

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Solution

The fourth proportional to 493,290.50, 680,741.50 and 266,936 is: 368,372.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    493,290.50 : 680,741.50 = 266,936 : x
  2. Step 2: Convert to fraction form
    493,290.50/680,741.50 = 266,936/x
  3. Step 3: Cross multiply
    493,290.50x = 680,741.50 × 266,936
  4. Step 4: Simplify right side
    493,290.50x = 181,714,413,044
  5. Step 5: Solve for x
    x = 181,714,413,044/493,290.50
  6. Step 6: Final answer
    x = 368,372.01

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