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Finding the Fourth Proportional to 468,782.44, 702,890.16 and 184,132.24

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Solution

The fourth proportional to 468,782.44, 702,890.16 and 184,132.24 is: 276,087.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    468,782.44 : 702,890.16 = 184,132.24 : x
  2. Step 2: Convert to fraction form
    468,782.44/702,890.16 = 184,132.24/x
  3. Step 3: Cross multiply
    468,782.44x = 702,890.16 × 184,132.24
  4. Step 4: Simplify right side
    468,782.44x = 129,424,739,634.76
  5. Step 5: Solve for x
    x = 129,424,739,634.76/468,782.44
  6. Step 6: Final answer
    x = 276,087.00

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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.