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Finding the Fourth Proportional to 365,089.56, 503,822.34 and 201,741.53

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Solution

The fourth proportional to 365,089.56, 503,822.34 and 201,741.53 is: 278,402.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    365,089.56 : 503,822.34 = 201,741.53 : x
  2. Step 2: Convert to fraction form
    365,089.56/503,822.34 = 201,741.53/x
  3. Step 3: Cross multiply
    365,089.56x = 503,822.34 × 201,741.53
  4. Step 4: Simplify right side
    365,089.56x = 101,641,887,200.67
  5. Step 5: Solve for x
    x = 101,641,887,200.67/365,089.56
  6. Step 6: Final answer
    x = 278,402.61

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Why These Related Problems?

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