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Finding the Fourth Proportional to 421,678.68, 581,921.92 and 230,695.26

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Solution

The fourth proportional to 421,678.68, 581,921.92 and 230,695.26 is: 318,362.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    421,678.68 : 581,921.92 = 230,695.26 : x
  2. Step 2: Convert to fraction form
    421,678.68/581,921.92 = 230,695.26/x
  3. Step 3: Cross multiply
    421,678.68x = 581,921.92 × 230,695.26
  4. Step 4: Simplify right side
    421,678.68x = 134,246,628,634.10
  5. Step 5: Solve for x
    x = 134,246,628,634.10/421,678.68
  6. Step 6: Final answer
    x = 318,362.38

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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.