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Finding the Fourth Proportional to 419,962.56, 629,935.20 and 139,482.24

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Solution

The fourth proportional to 419,962.56, 629,935.20 and 139,482.24 is: 209,220.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,962.56 : 629,935.20 = 139,482.24 : x
  2. Step 2: Convert to fraction form
    419,962.56/629,935.20 = 139,482.24/x
  3. Step 3: Cross multiply
    419,962.56x = 629,935.20 × 139,482.24
  4. Step 4: Simplify right side
    419,962.56x = 87,864,772,750.85
  5. Step 5: Solve for x
    x = 87,864,772,750.85/419,962.56
  6. Step 6: Final answer
    x = 209,220.49

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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.