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Finding the Fourth Proportional to 496,405.80, 744,803.10 and 180,894.60

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Solution

The fourth proportional to 496,405.80, 744,803.10 and 180,894.60 is: 271,412.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    496,405.80 : 744,803.10 = 180,894.60 : x
  2. Step 2: Convert to fraction form
    496,405.80/744,803.10 = 180,894.60/x
  3. Step 3: Cross multiply
    496,405.80x = 744,803.10 × 180,894.60
  4. Step 4: Simplify right side
    496,405.80x = 134,730,858,853.26
  5. Step 5: Solve for x
    x = 134,730,858,853.26/496,405.80
  6. Step 6: Final answer
    x = 271,412.74

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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.