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Finding the Fourth Proportional to 444,586, 613,528.68 and 243,382

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Solution

The fourth proportional to 444,586, 613,528.68 and 243,382 is: 335,867.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    444,586 : 613,528.68 = 243,382 : x
  2. Step 2: Convert to fraction form
    444,586/613,528.68 = 243,382/x
  3. Step 3: Cross multiply
    444,586x = 613,528.68 × 243,382
  4. Step 4: Simplify right side
    444,586x = 149,321,837,195.76
  5. Step 5: Solve for x
    x = 149,321,837,195.76/444,586
  6. Step 6: Final answer
    x = 335,867.16

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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.