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Finding the Fourth Proportional to 357,780.33, 493,726.46 and 204,813.36

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Solution

The fourth proportional to 357,780.33, 493,726.46 and 204,813.36 is: 282,636.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    357,780.33 : 493,726.46 = 204,813.36 : x
  2. Step 2: Convert to fraction form
    357,780.33/493,726.46 = 204,813.36/x
  3. Step 3: Cross multiply
    357,780.33x = 493,726.46 × 204,813.36
  4. Step 4: Simplify right side
    357,780.33x = 101,121,774,169.44
  5. Step 5: Solve for x
    x = 101,121,774,169.44/357,780.33
  6. Step 6: Final answer
    x = 282,636.48

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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.