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Finding the Fourth Proportional to 496,231.20, 744,346.80 and 384,256.80

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Solution

The fourth proportional to 496,231.20, 744,346.80 and 384,256.80 is: 576,385.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    496,231.20 : 744,346.80 = 384,256.80 : x
  2. Step 2: Convert to fraction form
    496,231.20/744,346.80 = 384,256.80/x
  3. Step 3: Cross multiply
    496,231.20x = 744,346.80 × 384,256.80
  4. Step 4: Simplify right side
    496,231.20x = 286,020,319,458.24
  5. Step 5: Solve for x
    x = 286,020,319,458.24/496,231.20
  6. Step 6: Final answer
    x = 576,385.20

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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.