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Finding the Fourth Proportional to 409,538, 614,307 and 114,050

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Solution

The fourth proportional to 409,538, 614,307 and 114,050 is: 171,075

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,538 : 614,307 = 114,050 : x
  2. Step 2: Convert to fraction form
    409,538/614,307 = 114,050/x
  3. Step 3: Cross multiply
    409,538x = 614,307 × 114,050
  4. Step 4: Simplify right side
    409,538x = 70,061,713,350
  5. Step 5: Solve for x
    x = 70,061,713,350/409,538
  6. Step 6: Final answer
    x = 171,075

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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.