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Finding the Fourth Proportional to 419,114.96, 628,678.96 and 233,307.44

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Solution

The fourth proportional to 419,114.96, 628,678.96 and 233,307.44 is: 349,964.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,114.96 : 628,678.96 = 233,307.44 : x
  2. Step 2: Convert to fraction form
    419,114.96/628,678.96 = 233,307.44/x
  3. Step 3: Cross multiply
    419,114.96x = 628,678.96 × 233,307.44
  4. Step 4: Simplify right side
    419,114.96x = 146,675,478,739.46
  5. Step 5: Solve for x
    x = 146,675,478,739.46/419,114.96
  6. Step 6: Final answer
    x = 349,964.79

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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.