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Finding the Fourth Proportional to 416,532.51, 624,648.11 and 150,221.52

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Solution

The fourth proportional to 416,532.51, 624,648.11 and 150,221.52 is: 225,277.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    416,532.51 : 624,648.11 = 150,221.52 : x
  2. Step 2: Convert to fraction form
    416,532.51/624,648.11 = 150,221.52/x
  3. Step 3: Cross multiply
    416,532.51x = 624,648.11 × 150,221.52
  4. Step 4: Simplify right side
    416,532.51x = 93,835,587,798.22
  5. Step 5: Solve for x
    x = 93,835,587,798.22/416,532.51
  6. Step 6: Final answer
    x = 225,277.94

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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.