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Finding the Fourth Proportional to 522,500.36, 783,881.75 and 148,523.36

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Solution

The fourth proportional to 522,500.36, 783,881.75 and 148,523.36 is: 222,822.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    522,500.36 : 783,881.75 = 148,523.36 : x
  2. Step 2: Convert to fraction form
    522,500.36/783,881.75 = 148,523.36/x
  3. Step 3: Cross multiply
    522,500.36x = 783,881.75 × 148,523.36
  4. Step 4: Simplify right side
    522,500.36x = 116,424,747,804.58
  5. Step 5: Solve for x
    x = 116,424,747,804.58/522,500.36
  6. Step 6: Final answer
    x = 222,822.33

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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.