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Finding the Fourth Proportional to 490,893.86, 736,349.97 and 153,927.11

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Solution

The fourth proportional to 490,893.86, 736,349.97 and 153,927.11 is: 230,893.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    490,893.86 : 736,349.97 = 153,927.11 : x
  2. Step 2: Convert to fraction form
    490,893.86/736,349.97 = 153,927.11/x
  3. Step 3: Cross multiply
    490,893.86x = 736,349.97 × 153,927.11
  4. Step 4: Simplify right side
    490,893.86x = 113,344,222,830.69
  5. Step 5: Solve for x
    x = 113,344,222,830.69/490,893.86
  6. Step 6: Final answer
    x = 230,893.54

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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.