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Finding the Fourth Proportional to 382,998.38, 528,554.16 and 213,232.50

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Solution

The fourth proportional to 382,998.38, 528,554.16 and 213,232.50 is: 294,269.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    382,998.38 : 528,554.16 = 213,232.50 : x
  2. Step 2: Convert to fraction form
    382,998.38/528,554.16 = 213,232.50/x
  3. Step 3: Cross multiply
    382,998.38x = 528,554.16 × 213,232.50
  4. Step 4: Simplify right side
    382,998.38x = 112,704,924,922.20
  5. Step 5: Solve for x
    x = 112,704,924,922.20/382,998.38
  6. Step 6: Final answer
    x = 294,269.98

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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.