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Finding the Fourth Proportional to 369,580.33, 510,022.02 and 199,815.67

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Solution

The fourth proportional to 369,580.33, 510,022.02 and 199,815.67 is: 275,746.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    369,580.33 : 510,022.02 = 199,815.67 : x
  2. Step 2: Convert to fraction form
    369,580.33/510,022.02 = 199,815.67/x
  3. Step 3: Cross multiply
    369,580.33x = 510,022.02 × 199,815.67
  4. Step 4: Simplify right side
    369,580.33x = 101,910,391,641.05
  5. Step 5: Solve for x
    x = 101,910,391,641.05/369,580.33
  6. Step 6: Final answer
    x = 275,746.25

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.