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Finding the Fourth Proportional to 463,998.28, 695,971.80 and 127,014.52

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Solution

The fourth proportional to 463,998.28, 695,971.80 and 127,014.52 is: 190,514.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    463,998.28 : 695,971.80 = 127,014.52 : x
  2. Step 2: Convert to fraction form
    463,998.28/695,971.80 = 127,014.52/x
  3. Step 3: Cross multiply
    463,998.28x = 695,971.80 × 127,014.52
  4. Step 4: Simplify right side
    463,998.28x = 88,398,524,110.54
  5. Step 5: Solve for x
    x = 88,398,524,110.54/463,998.28
  6. Step 6: Final answer
    x = 190,514.77

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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.