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Finding the Fourth Proportional to 446,564.70, 669,069.45 and 384,356.70

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Solution

The fourth proportional to 446,564.70, 669,069.45 and 384,356.70 is: 575,865.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    446,564.70 : 669,069.45 = 384,356.70 : x
  2. Step 2: Convert to fraction form
    446,564.70/669,069.45 = 384,356.70/x
  3. Step 3: Cross multiply
    446,564.70x = 669,069.45 × 384,356.70
  4. Step 4: Simplify right side
    446,564.70x = 257,161,325,872.82
  5. Step 5: Solve for x
    x = 257,161,325,872.82/446,564.70
  6. Step 6: Final answer
    x = 575,865.77

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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.