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Finding the Fourth Proportional to 446,507.51, 616,169.97 and 242,553.83

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Solution

The fourth proportional to 446,507.51, 616,169.97 and 242,553.83 is: 334,718.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    446,507.51 : 616,169.97 = 242,553.83 : x
  2. Step 2: Convert to fraction form
    446,507.51/616,169.97 = 242,553.83/x
  3. Step 3: Cross multiply
    446,507.51x = 616,169.97 × 242,553.83
  4. Step 4: Simplify right side
    446,507.51x = 149,454,383,073.64
  5. Step 5: Solve for x
    x = 149,454,383,073.64/446,507.51
  6. Step 6: Final answer
    x = 334,718.64

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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.