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Finding the Fourth Proportional to 259,748.40, 389,622.60 and 175,767.60

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Solution

The fourth proportional to 259,748.40, 389,622.60 and 175,767.60 is: 263,651.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,748.40 : 389,622.60 = 175,767.60 : x
  2. Step 2: Convert to fraction form
    259,748.40/389,622.60 = 175,767.60/x
  3. Step 3: Cross multiply
    259,748.40x = 389,622.60 × 175,767.60
  4. Step 4: Simplify right side
    259,748.40x = 68,483,029,307.76
  5. Step 5: Solve for x
    x = 68,483,029,307.76/259,748.40
  6. Step 6: Final answer
    x = 263,651.40

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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.