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Finding the Fourth Proportional to 421,087.32, 581,114.85 and 230,113.02

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Solution

The fourth proportional to 421,087.32, 581,114.85 and 230,113.02 is: 317,563.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    421,087.32 : 581,114.85 = 230,113.02 : x
  2. Step 2: Convert to fraction form
    421,087.32/581,114.85 = 230,113.02/x
  3. Step 3: Cross multiply
    421,087.32x = 581,114.85 × 230,113.02
  4. Step 4: Simplify right side
    421,087.32x = 133,722,093,100.35
  5. Step 5: Solve for x
    x = 133,722,093,100.35/421,087.32
  6. Step 6: Final answer
    x = 317,563.81

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