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Finding the Fourth Proportional to 409,369.50, 613,375.40 and 248,960.24

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Solution

The fourth proportional to 409,369.50, 613,375.40 and 248,960.24 is: 373,027.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,369.50 : 613,375.40 = 248,960.24 : x
  2. Step 2: Convert to fraction form
    409,369.50/613,375.40 = 248,960.24/x
  3. Step 3: Cross multiply
    409,369.50x = 613,375.40 × 248,960.24
  4. Step 4: Simplify right side
    409,369.50x = 152,706,082,482.42
  5. Step 5: Solve for x
    x = 152,706,082,482.42/409,369.50
  6. Step 6: Final answer
    x = 373,027.50

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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.