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Finding the Fourth Proportional to 804,429.84, 1,204,807.68 and 384,000.96

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Solution

The fourth proportional to 804,429.84, 1,204,807.68 and 384,000.96 is: 575,124.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    804,429.84 : 1,204,807.68 = 384,000.96 : x
  2. Step 2: Convert to fraction form
    804,429.84/1,204,807.68 = 384,000.96/x
  3. Step 3: Cross multiply
    804,429.84x = 1,204,807.68 × 384,000.96
  4. Step 4: Simplify right side
    804,429.84x = 462,647,305,735.37
  5. Step 5: Solve for x
    x = 462,647,305,735.37/804,429.84
  6. Step 6: Final answer
    x = 575,124.50

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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.