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Finding the Fourth Proportional to 497,926.80, 747,181.80 and 182,415.60

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Solution

The fourth proportional to 497,926.80, 747,181.80 and 182,415.60 is: 273,730.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    497,926.80 : 747,181.80 = 182,415.60 : x
  2. Step 2: Convert to fraction form
    497,926.80/747,181.80 = 182,415.60/x
  3. Step 3: Cross multiply
    497,926.80x = 747,181.80 × 182,415.60
  4. Step 4: Simplify right side
    497,926.80x = 136,297,616,356.08
  5. Step 5: Solve for x
    x = 136,297,616,356.08/497,926.80
  6. Step 6: Final answer
    x = 273,730.23

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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.