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Finding the Fourth Proportional to 421,029.75, 581,014.28 and 230,039.04

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Solution

The fourth proportional to 421,029.75, 581,014.28 and 230,039.04 is: 317,450.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    421,029.75 : 581,014.28 = 230,039.04 : x
  2. Step 2: Convert to fraction form
    421,029.75/581,014.28 = 230,039.04/x
  3. Step 3: Cross multiply
    421,029.75x = 581,014.28 × 230,039.04
  4. Step 4: Simplify right side
    421,029.75x = 133,655,967,197.49
  5. Step 5: Solve for x
    x = 133,655,967,197.49/421,029.75
  6. Step 6: Final answer
    x = 317,450.17

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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.