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Finding the Fourth Proportional to 446,543.20, 669,037.20 and 384,335.20

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Solution

The fourth proportional to 446,543.20, 669,037.20 and 384,335.20 is: 575,833.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    446,543.20 : 669,037.20 = 384,335.20 : x
  2. Step 2: Convert to fraction form
    446,543.20/669,037.20 = 384,335.20/x
  3. Step 3: Cross multiply
    446,543.20x = 669,037.20 × 384,335.20
  4. Step 4: Simplify right side
    446,543.20x = 257,134,546,069.44
  5. Step 5: Solve for x
    x = 257,134,546,069.44/446,543.20
  6. Step 6: Final answer
    x = 575,833.53

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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.