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Finding the Fourth Proportional to 416,000.56, 624,105 and 238,707.76

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Solution

The fourth proportional to 416,000.56, 624,105 and 238,707.76 is: 358,121.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    416,000.56 : 624,105 = 238,707.76 : x
  2. Step 2: Convert to fraction form
    416,000.56/624,105 = 238,707.76/x
  3. Step 3: Cross multiply
    416,000.56x = 624,105 × 238,707.76
  4. Step 4: Simplify right side
    416,000.56x = 148,978,706,554.80
  5. Step 5: Solve for x
    x = 148,978,706,554.80/416,000.56
  6. Step 6: Final answer
    x = 358,121.41

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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.