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Finding the Fourth Proportional to 496,718.40, 744,656.40 and 180,991.20

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Solution

The fourth proportional to 496,718.40, 744,656.40 and 180,991.20 is: 271,333.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    496,718.40 : 744,656.40 = 180,991.20 : x
  2. Step 2: Convert to fraction form
    496,718.40/744,656.40 = 180,991.20/x
  3. Step 3: Cross multiply
    496,718.40x = 744,656.40 × 180,991.20
  4. Step 4: Simplify right side
    496,718.40x = 134,776,255,423.68
  5. Step 5: Solve for x
    x = 134,776,255,423.68/496,718.40
  6. Step 6: Final answer
    x = 271,333.33

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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.