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Finding the Fourth Proportional to 416,342.96, 624,443.40 and 150,050.48

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Solution

The fourth proportional to 416,342.96, 624,443.40 and 150,050.48 is: 225,050.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    416,342.96 : 624,443.40 = 150,050.48 : x
  2. Step 2: Convert to fraction form
    416,342.96/624,443.40 = 150,050.48/x
  3. Step 3: Cross multiply
    416,342.96x = 624,443.40 × 150,050.48
  4. Step 4: Simplify right side
    416,342.96x = 93,698,031,902.83
  5. Step 5: Solve for x
    x = 93,698,031,902.83/416,342.96
  6. Step 6: Final answer
    x = 225,050.12

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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.