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Finding the Fourth Proportional to 414,418.46, 571,896.65 and 233,130.53

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Solution

The fourth proportional to 414,418.46, 571,896.65 and 233,130.53 is: 321,719.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    414,418.46 : 571,896.65 = 233,130.53 : x
  2. Step 2: Convert to fraction form
    414,418.46/571,896.65 = 233,130.53/x
  3. Step 3: Cross multiply
    414,418.46x = 571,896.65 × 233,130.53
  4. Step 4: Simplify right side
    414,418.46x = 133,326,569,119.73
  5. Step 5: Solve for x
    x = 133,326,569,119.73/414,418.46
  6. Step 6: Final answer
    x = 321,719.67

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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.