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Finding the Fourth Proportional to 365,801.79, 504,826.08 and 204,647.23

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Solution

The fourth proportional to 365,801.79, 504,826.08 and 204,647.23 is: 282,424.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    365,801.79 : 504,826.08 = 204,647.23 : x
  2. Step 2: Convert to fraction form
    365,801.79/504,826.08 = 204,647.23/x
  3. Step 3: Cross multiply
    365,801.79x = 504,826.08 × 204,647.23
  4. Step 4: Simplify right side
    365,801.79x = 103,311,258,903.76
  5. Step 5: Solve for x
    x = 103,311,258,903.76/365,801.79
  6. Step 6: Final answer
    x = 282,424.15

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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.