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Finding the Fourth Proportional to 496,523.64, 744,784.32 and 180,851.52

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Solution

The fourth proportional to 496,523.64, 744,784.32 and 180,851.52 is: 271,276.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    496,523.64 : 744,784.32 = 180,851.52 : x
  2. Step 2: Convert to fraction form
    496,523.64/744,784.32 = 180,851.52/x
  3. Step 3: Cross multiply
    496,523.64x = 744,784.32 × 180,851.52
  4. Step 4: Simplify right side
    496,523.64x = 134,695,376,344.17
  5. Step 5: Solve for x
    x = 134,695,376,344.17/496,523.64
  6. Step 6: Final answer
    x = 271,276.86

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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.