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Finding the Fourth Proportional to 411,057.89, 616,514.09 and 111,561.81

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Solution

The fourth proportional to 411,057.89, 616,514.09 and 111,561.81 is: 167,322.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    411,057.89 : 616,514.09 = 111,561.81 : x
  2. Step 2: Convert to fraction form
    411,057.89/616,514.09 = 111,561.81/x
  3. Step 3: Cross multiply
    411,057.89x = 616,514.09 × 111,561.81
  4. Step 4: Simplify right side
    411,057.89x = 68,779,424,901.17
  5. Step 5: Solve for x
    x = 68,779,424,901.17/411,057.89
  6. Step 6: Final answer
    x = 167,322.97

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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.