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Finding the Fourth Proportional to 382,846.50, 528,328.17 and 213,076.98

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Solution

The fourth proportional to 382,846.50, 528,328.17 and 213,076.98 is: 294,046.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    382,846.50 : 528,328.17 = 213,076.98 : x
  2. Step 2: Convert to fraction form
    382,846.50/528,328.17 = 213,076.98/x
  3. Step 3: Cross multiply
    382,846.50x = 528,328.17 × 213,076.98
  4. Step 4: Simplify right side
    382,846.50x = 112,574,570,912.53
  5. Step 5: Solve for x
    x = 112,574,570,912.53/382,846.50
  6. Step 6: Final answer
    x = 294,046.23

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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.