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Finding the Fourth Proportional to 421,574.77, 632,356.31 and 101,723.97

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Solution

The fourth proportional to 421,574.77, 632,356.31 and 101,723.97 is: 152,584.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    421,574.77 : 632,356.31 = 101,723.97 : x
  2. Step 2: Convert to fraction form
    421,574.77/632,356.31 = 101,723.97/x
  3. Step 3: Cross multiply
    421,574.77x = 632,356.31 × 101,723.97
  4. Step 4: Simplify right side
    421,574.77x = 64,325,792,804.20
  5. Step 5: Solve for x
    x = 64,325,792,804.20/421,574.77
  6. Step 6: Final answer
    x = 152,584.54

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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.