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Finding the Fourth Proportional to 259,834.40, 390,043.20 and 200,931.20

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Solution

The fourth proportional to 259,834.40, 390,043.20 and 200,931.20 is: 301,622.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,834.40 : 390,043.20 = 200,931.20 : x
  2. Step 2: Convert to fraction form
    259,834.40/390,043.20 = 200,931.20/x
  3. Step 3: Cross multiply
    259,834.40x = 390,043.20 × 200,931.20
  4. Step 4: Simplify right side
    259,834.40x = 78,371,848,227.84
  5. Step 5: Solve for x
    x = 78,371,848,227.84/259,834.40
  6. Step 6: Final answer
    x = 301,622.30

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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.