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Finding the Fourth Proportional to 456,760, 685,205.34 and 141,241.24

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Solution

The fourth proportional to 456,760, 685,205.34 and 141,241.24 is: 211,882.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    456,760 : 685,205.34 = 141,241.24 : x
  2. Step 2: Convert to fraction form
    456,760/685,205.34 = 141,241.24/x
  3. Step 3: Cross multiply
    456,760x = 685,205.34 × 141,241.24
  4. Step 4: Simplify right side
    456,760x = 96,779,251,876.22
  5. Step 5: Solve for x
    x = 96,779,251,876.22/456,760
  6. Step 6: Final answer
    x = 211,882.06

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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.