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Finding the Fourth Proportional to 617,049.12, 925,593.84 and 212,237.16

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Solution

The fourth proportional to 617,049.12, 925,593.84 and 212,237.16 is: 318,362.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    617,049.12 : 925,593.84 = 212,237.16 : x
  2. Step 2: Convert to fraction form
    617,049.12/925,593.84 = 212,237.16/x
  3. Step 3: Cross multiply
    617,049.12x = 925,593.84 × 212,237.16
  4. Step 4: Simplify right side
    617,049.12x = 196,445,407,915.09
  5. Step 5: Solve for x
    x = 196,445,407,915.09/617,049.12
  6. Step 6: Final answer
    x = 318,362.67

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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.