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Finding the Fourth Proportional to 421,566.72, 581,757.84 and 230,583.84

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Solution

The fourth proportional to 421,566.72, 581,757.84 and 230,583.84 is: 318,203.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    421,566.72 : 581,757.84 = 230,583.84 : x
  2. Step 2: Convert to fraction form
    421,566.72/581,757.84 = 230,583.84/x
  3. Step 3: Cross multiply
    421,566.72x = 581,757.84 × 230,583.84
  4. Step 4: Simplify right side
    421,566.72x = 134,143,956,697.31
  5. Step 5: Solve for x
    x = 134,143,956,697.31/421,566.72
  6. Step 6: Final answer
    x = 318,203.38

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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.