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Finding the Fourth Proportional to 283,265.40, 397,271.40 and 283,265.40

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Solution

The fourth proportional to 283,265.40, 397,271.40 and 283,265.40 is: 397,271.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    283,265.40 : 397,271.40 = 283,265.40 : x
  2. Step 2: Convert to fraction form
    283,265.40/397,271.40 = 283,265.40/x
  3. Step 3: Cross multiply
    283,265.40x = 397,271.40 × 283,265.40
  4. Step 4: Simplify right side
    283,265.40x = 112,533,242,029.56
  5. Step 5: Solve for x
    x = 112,533,242,029.56/283,265.40
  6. Step 6: Final answer
    x = 397,271.40

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.