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Finding the Fourth Proportional to 416,194.80, 624,583.80 and 266,798.40

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Solution

The fourth proportional to 416,194.80, 624,583.80 and 266,798.40 is: 400,384.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    416,194.80 : 624,583.80 = 266,798.40 : x
  2. Step 2: Convert to fraction form
    416,194.80/624,583.80 = 266,798.40/x
  3. Step 3: Cross multiply
    416,194.80x = 624,583.80 × 266,798.40
  4. Step 4: Simplify right side
    416,194.80x = 166,637,958,505.92
  5. Step 5: Solve for x
    x = 166,637,958,505.92/416,194.80
  6. Step 6: Final answer
    x = 400,384.53

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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.