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Finding the Fourth Proportional to 418,084.72, 576,735.78 and 264,852.60

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Solution

The fourth proportional to 418,084.72, 576,735.78 and 264,852.60 is: 365,356.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    418,084.72 : 576,735.78 = 264,852.60 : x
  2. Step 2: Convert to fraction form
    418,084.72/576,735.78 = 264,852.60/x
  3. Step 3: Cross multiply
    418,084.72x = 576,735.78 × 264,852.60
  4. Step 4: Simplify right side
    418,084.72x = 152,749,970,846.03
  5. Step 5: Solve for x
    x = 152,749,970,846.03/418,084.72
  6. Step 6: Final answer
    x = 365,356.50

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Why These Related Problems?

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