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Finding the Fourth Proportional to 283,423.20, 425,595.60 and 205,087.20

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Solution

The fourth proportional to 283,423.20, 425,595.60 and 205,087.20 is: 307,964.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    283,423.20 : 425,595.60 = 205,087.20 : x
  2. Step 2: Convert to fraction form
    283,423.20/425,595.60 = 205,087.20/x
  3. Step 3: Cross multiply
    283,423.20x = 425,595.60 × 205,087.20
  4. Step 4: Simplify right side
    283,423.20x = 87,284,209,936.32
  5. Step 5: Solve for x
    x = 87,284,209,936.32/283,423.20
  6. Step 6: Final answer
    x = 307,964.24

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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.