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Finding the Fourth Proportional to 468,654.88, 646,738.68 and 264,706.20

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Solution

The fourth proportional to 468,654.88, 646,738.68 and 264,706.20 is: 365,291.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    468,654.88 : 646,738.68 = 264,706.20 : x
  2. Step 2: Convert to fraction form
    468,654.88/646,738.68 = 264,706.20/x
  3. Step 3: Cross multiply
    468,654.88x = 646,738.68 × 264,706.20
  4. Step 4: Simplify right side
    468,654.88x = 171,195,738,375.82
  5. Step 5: Solve for x
    x = 171,195,738,375.82/468,654.88
  6. Step 6: Final answer
    x = 365,291.70

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.