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Finding the Fourth Proportional to 496,813.86, 744,564.51 and 180,967.32

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Solution

The fourth proportional to 496,813.86, 744,564.51 and 180,967.32 is: 271,211.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    496,813.86 : 744,564.51 = 180,967.32 : x
  2. Step 2: Convert to fraction form
    496,813.86/744,564.51 = 180,967.32/x
  3. Step 3: Cross multiply
    496,813.86x = 744,564.51 × 180,967.32
  4. Step 4: Simplify right side
    496,813.86x = 134,741,843,941.81
  5. Step 5: Solve for x
    x = 134,741,843,941.81/496,813.86
  6. Step 6: Final answer
    x = 271,211.93

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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.