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Finding the Fourth Proportional to 414,491.47, 571,994.18 and 230,727.12

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Solution

The fourth proportional to 414,491.47, 571,994.18 and 230,727.12 is: 318,401.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    414,491.47 : 571,994.18 = 230,727.12 : x
  2. Step 2: Convert to fraction form
    414,491.47/571,994.18 = 230,727.12/x
  3. Step 3: Cross multiply
    414,491.47x = 571,994.18 × 230,727.12
  4. Step 4: Simplify right side
    414,491.47x = 131,974,569,231.34
  5. Step 5: Solve for x
    x = 131,974,569,231.34/414,491.47
  6. Step 6: Final answer
    x = 318,401.17

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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.