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Finding the Fourth Proportional to 411,164.43, 616,851.72 and 158,377.07

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Solution

The fourth proportional to 411,164.43, 616,851.72 and 158,377.07 is: 237,606.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    411,164.43 : 616,851.72 = 158,377.07 : x
  2. Step 2: Convert to fraction form
    411,164.43/616,851.72 = 158,377.07/x
  3. Step 3: Cross multiply
    411,164.43x = 616,851.72 × 158,377.07
  4. Step 4: Simplify right side
    411,164.43x = 97,695,169,914.27
  5. Step 5: Solve for x
    x = 97,695,169,914.27/411,164.43
  6. Step 6: Final answer
    x = 237,606.08

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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.