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Finding the Fourth Proportional to 320,794.84, 481,051.74 and 152,363.32

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Solution

The fourth proportional to 320,794.84, 481,051.74 and 152,363.32 is: 228,478.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    320,794.84 : 481,051.74 = 152,363.32 : x
  2. Step 2: Convert to fraction form
    320,794.84/481,051.74 = 152,363.32/x
  3. Step 3: Cross multiply
    320,794.84x = 481,051.74 × 152,363.32
  4. Step 4: Simplify right side
    320,794.84x = 73,294,640,198.18
  5. Step 5: Solve for x
    x = 73,294,640,198.18/320,794.84
  6. Step 6: Final answer
    x = 228,478.24

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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.