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Finding the Fourth Proportional to 389,647.22, 583,954.14 and 200,099.93

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Solution

The fourth proportional to 389,647.22, 583,954.14 and 200,099.93 is: 299,884.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    389,647.22 : 583,954.14 = 200,099.93 : x
  2. Step 2: Convert to fraction form
    389,647.22/583,954.14 = 200,099.93/x
  3. Step 3: Cross multiply
    389,647.22x = 583,954.14 × 200,099.93
  4. Step 4: Simplify right side
    389,647.22x = 116,849,180,367.81
  5. Step 5: Solve for x
    x = 116,849,180,367.81/389,647.22
  6. Step 6: Final answer
    x = 299,884.55

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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.