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Finding the Fourth Proportional to 419,396.75, 578,783.91 and 238,125.57

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Solution

The fourth proportional to 419,396.75, 578,783.91 and 238,125.57 is: 328,622.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,396.75 : 578,783.91 = 238,125.57 : x
  2. Step 2: Convert to fraction form
    419,396.75/578,783.91 = 238,125.57/x
  3. Step 3: Cross multiply
    419,396.75x = 578,783.91 × 238,125.57
  4. Step 4: Simplify right side
    419,396.75x = 137,823,250,453.77
  5. Step 5: Solve for x
    x = 137,823,250,453.77/419,396.75
  6. Step 6: Final answer
    x = 328,622.60

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.