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Finding the Fourth Proportional to 446,711.04, 670,212 and 210,077.28

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Solution

The fourth proportional to 446,711.04, 670,212 and 210,077.28 is: 315,184.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    446,711.04 : 670,212 = 210,077.28 : x
  2. Step 2: Convert to fraction form
    446,711.04/670,212 = 210,077.28/x
  3. Step 3: Cross multiply
    446,711.04x = 670,212 × 210,077.28
  4. Step 4: Simplify right side
    446,711.04x = 140,796,313,983.36
  5. Step 5: Solve for x
    x = 140,796,313,983.36/446,711.04
  6. Step 6: Final answer
    x = 315,184.32

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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.