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Finding the Fourth Proportional to 459,456.96, 689,198.40 and 127,032.96

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Solution

The fourth proportional to 459,456.96, 689,198.40 and 127,032.96 is: 190,553.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    459,456.96 : 689,198.40 = 127,032.96 : x
  2. Step 2: Convert to fraction form
    459,456.96/689,198.40 = 127,032.96/x
  3. Step 3: Cross multiply
    459,456.96x = 689,198.40 × 127,032.96
  4. Step 4: Simplify right side
    459,456.96x = 87,550,912,779.26
  5. Step 5: Solve for x
    x = 87,550,912,779.26/459,456.96
  6. Step 6: Final answer
    x = 190,553.02

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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.