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Finding the Fourth Proportional to 421,087.96, 581,102.93 and 230,101.38

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Solution

The fourth proportional to 421,087.96, 581,102.93 and 230,101.38 is: 317,540.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    421,087.96 : 581,102.93 = 230,101.38 : x
  2. Step 2: Convert to fraction form
    421,087.96/581,102.93 = 230,101.38/x
  3. Step 3: Cross multiply
    421,087.96x = 581,102.93 × 230,101.38
  4. Step 4: Simplify right side
    421,087.96x = 133,712,586,115.04
  5. Step 5: Solve for x
    x = 133,712,586,115.04/421,087.96
  6. Step 6: Final answer
    x = 317,540.75

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.