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Finding the Fourth Proportional to 416,328.96, 624,422.40 and 150,036.48

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Solution

The fourth proportional to 416,328.96, 624,422.40 and 150,036.48 is: 225,029.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    416,328.96 : 624,422.40 = 150,036.48 : x
  2. Step 2: Convert to fraction form
    416,328.96/624,422.40 = 150,036.48/x
  3. Step 3: Cross multiply
    416,328.96x = 624,422.40 × 150,036.48
  4. Step 4: Simplify right side
    416,328.96x = 93,686,138,929.15
  5. Step 5: Solve for x
    x = 93,686,138,929.15/416,328.96
  6. Step 6: Final answer
    x = 225,029.12

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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.