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Finding the Fourth Proportional to 416,118.33, 624,029.88 and 149,807.34

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Solution

The fourth proportional to 416,118.33, 624,029.88 and 149,807.34 is: 224,657.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    416,118.33 : 624,029.88 = 149,807.34 : x
  2. Step 2: Convert to fraction form
    416,118.33/624,029.88 = 149,807.34/x
  3. Step 3: Cross multiply
    416,118.33x = 624,029.88 × 149,807.34
  4. Step 4: Simplify right side
    416,118.33x = 93,484,256,403.32
  5. Step 5: Solve for x
    x = 93,484,256,403.32/416,118.33
  6. Step 6: Final answer
    x = 224,657.87

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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.