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Finding the Fourth Proportional to 459,668.28, 633,896.46 and 306,712.68

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Solution

The fourth proportional to 459,668.28, 633,896.46 and 306,712.68 is: 422,966.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    459,668.28 : 633,896.46 = 306,712.68 : x
  2. Step 2: Convert to fraction form
    459,668.28/633,896.46 = 306,712.68/x
  3. Step 3: Cross multiply
    459,668.28x = 633,896.46 × 306,712.68
  4. Step 4: Simplify right side
    459,668.28x = 194,424,082,089.11
  5. Step 5: Solve for x
    x = 194,424,082,089.11/459,668.28
  6. Step 6: Final answer
    x = 422,966.06

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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.