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Finding the Fourth Proportional to 416,379.90, 624,187.14 and 150,075.24

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Solution

The fourth proportional to 416,379.90, 624,187.14 and 150,075.24 is: 224,974.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    416,379.90 : 624,187.14 = 150,075.24 : x
  2. Step 2: Convert to fraction form
    416,379.90/624,187.14 = 150,075.24/x
  3. Step 3: Cross multiply
    416,379.90x = 624,187.14 × 150,075.24
  4. Step 4: Simplify right side
    416,379.90x = 93,675,034,840.41
  5. Step 5: Solve for x
    x = 93,675,034,840.41/416,379.90
  6. Step 6: Final answer
    x = 224,974.92

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1.5x scale

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.