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Finding the Fourth Proportional to 435,462.10, 653,407.14 and 195,745.37

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Solution

The fourth proportional to 435,462.10, 653,407.14 and 195,745.37 is: 293,714.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    435,462.10 : 653,407.14 = 195,745.37 : x
  2. Step 2: Convert to fraction form
    435,462.10/653,407.14 = 195,745.37/x
  3. Step 3: Cross multiply
    435,462.10x = 653,407.14 × 195,745.37
  4. Step 4: Simplify right side
    435,462.10x = 127,901,422,379.94
  5. Step 5: Solve for x
    x = 127,901,422,379.94/435,462.10
  6. Step 6: Final answer
    x = 293,714.25

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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.