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Finding the Fourth Proportional to 446,853.20, 670,069.20 and 162,343.12

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Solution

The fourth proportional to 446,853.20, 670,069.20 and 162,343.12 is: 243,438.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    446,853.20 : 670,069.20 = 162,343.12 : x
  2. Step 2: Convert to fraction form
    446,853.20/670,069.20 = 162,343.12/x
  3. Step 3: Cross multiply
    446,853.20x = 670,069.20 × 162,343.12
  4. Step 4: Simplify right side
    446,853.20x = 108,781,124,543.90
  5. Step 5: Solve for x
    x = 108,781,124,543.90/446,853.20
  6. Step 6: Final answer
    x = 243,438.17

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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.