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Finding the Fourth Proportional to 413,675.88, 620,647.50 and 203,166.18

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Solution

The fourth proportional to 413,675.88, 620,647.50 and 203,166.18 is: 304,814.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,675.88 : 620,647.50 = 203,166.18 : x
  2. Step 2: Convert to fraction form
    413,675.88/620,647.50 = 203,166.18/x
  3. Step 3: Cross multiply
    413,675.88x = 620,647.50 × 203,166.18
  4. Step 4: Simplify right side
    413,675.88x = 126,094,581,701.55
  5. Step 5: Solve for x
    x = 126,094,581,701.55/413,675.88
  6. Step 6: Final answer
    x = 304,814.92

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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.