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Finding the Fourth Proportional to 283,476.80, 425,215.20 and 264,814.40

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Solution

The fourth proportional to 283,476.80, 425,215.20 and 264,814.40 is: 397,221.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    283,476.80 : 425,215.20 = 264,814.40 : x
  2. Step 2: Convert to fraction form
    283,476.80/425,215.20 = 264,814.40/x
  3. Step 3: Cross multiply
    283,476.80x = 425,215.20 × 264,814.40
  4. Step 4: Simplify right side
    283,476.80x = 112,603,108,058.88
  5. Step 5: Solve for x
    x = 112,603,108,058.88/283,476.80
  6. Step 6: Final answer
    x = 397,221.60

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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.