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Finding the Fourth Proportional to 406,851.96, 610,194.53 and 154,045.23

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Solution

The fourth proportional to 406,851.96, 610,194.53 and 154,045.23 is: 231,036.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    406,851.96 : 610,194.53 = 154,045.23 : x
  2. Step 2: Convert to fraction form
    406,851.96/610,194.53 = 154,045.23/x
  3. Step 3: Cross multiply
    406,851.96x = 610,194.53 × 154,045.23
  4. Step 4: Simplify right side
    406,851.96x = 93,997,555,948.37
  5. Step 5: Solve for x
    x = 93,997,555,948.37/406,851.96
  6. Step 6: Final answer
    x = 231,036.26

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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.