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Finding the Fourth Proportional to 421,808.40, 632,768.10 and 155,755.80

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Solution

The fourth proportional to 421,808.40, 632,768.10 and 155,755.80 is: 233,654.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    421,808.40 : 632,768.10 = 155,755.80 : x
  2. Step 2: Convert to fraction form
    421,808.40/632,768.10 = 155,755.80/x
  3. Step 3: Cross multiply
    421,808.40x = 632,768.10 × 155,755.80
  4. Step 4: Simplify right side
    421,808.40x = 98,557,301,629.98
  5. Step 5: Solve for x
    x = 98,557,301,629.98/421,808.40
  6. Step 6: Final answer
    x = 233,654.19

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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.