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Finding the Fourth Proportional to 419,616.84, 628,864.74 and 153,126.84

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Solution

The fourth proportional to 419,616.84, 628,864.74 and 153,126.84 is: 229,485.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,616.84 : 628,864.74 = 153,126.84 : x
  2. Step 2: Convert to fraction form
    419,616.84/628,864.74 = 153,126.84/x
  3. Step 3: Cross multiply
    419,616.84x = 628,864.74 × 153,126.84
  4. Step 4: Simplify right side
    419,616.84x = 96,296,070,423.62
  5. Step 5: Solve for x
    x = 96,296,070,423.62/419,616.84
  6. Step 6: Final answer
    x = 229,485.71

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.