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Finding the Fourth Proportional to 533,623.26, 800,619.21 and 201,386.46

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Solution

The fourth proportional to 533,623.26, 800,619.21 and 201,386.46 is: 302,149.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    533,623.26 : 800,619.21 = 201,386.46 : x
  2. Step 2: Convert to fraction form
    533,623.26/800,619.21 = 201,386.46/x
  3. Step 3: Cross multiply
    533,623.26x = 800,619.21 × 201,386.46
  4. Step 4: Simplify right side
    533,623.26x = 161,233,868,509.90
  5. Step 5: Solve for x
    x = 161,233,868,509.90/533,623.26
  6. Step 6: Final answer
    x = 302,149.25

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.