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Finding the Fourth Proportional to 416,426.25, 624,888.15 and 382,546.58

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Solution

The fourth proportional to 416,426.25, 624,888.15 and 382,546.58 is: 574,048.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    416,426.25 : 624,888.15 = 382,546.58 : x
  2. Step 2: Convert to fraction form
    416,426.25/624,888.15 = 382,546.58/x
  3. Step 3: Cross multiply
    416,426.25x = 624,888.15 × 382,546.58
  4. Step 4: Simplify right side
    416,426.25x = 239,048,824,665.03
  5. Step 5: Solve for x
    x = 239,048,824,665.03/416,426.25
  6. Step 6: Final answer
    x = 574,048.41

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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.