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Finding the Fourth Proportional to 496,830.96, 745,258.64 and 181,287.76

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Solution

The fourth proportional to 496,830.96, 745,258.64 and 181,287.76 is: 271,936.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    496,830.96 : 745,258.64 = 181,287.76 : x
  2. Step 2: Convert to fraction form
    496,830.96/745,258.64 = 181,287.76/x
  3. Step 3: Cross multiply
    496,830.96x = 745,258.64 × 181,287.76
  4. Step 4: Simplify right side
    496,830.96x = 135,106,269,466.25
  5. Step 5: Solve for x
    x = 135,106,269,466.25/496,830.96
  6. Step 6: Final answer
    x = 271,936.09

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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.