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Finding the Fourth Proportional to 735,538, 1,103,307.06 and 236,902

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Solution

The fourth proportional to 735,538, 1,103,307.06 and 236,902 is: 355,353.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    735,538 : 1,103,307.06 = 236,902 : x
  2. Step 2: Convert to fraction form
    735,538/1,103,307.06 = 236,902/x
  3. Step 3: Cross multiply
    735,538x = 1,103,307.06 × 236,902
  4. Step 4: Simplify right side
    735,538x = 261,375,649,128.12
  5. Step 5: Solve for x
    x = 261,375,649,128.12/735,538
  6. Step 6: Final answer
    x = 355,353.02

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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.