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Finding the Fourth Proportional to 468,825.76, 646,820.40 and 264,846.88

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Solution

The fourth proportional to 468,825.76, 646,820.40 and 264,846.88 is: 365,398.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    468,825.76 : 646,820.40 = 264,846.88 : x
  2. Step 2: Convert to fraction form
    468,825.76/646,820.40 = 264,846.88/x
  3. Step 3: Cross multiply
    468,825.76x = 646,820.40 × 264,846.88
  4. Step 4: Simplify right side
    468,825.76x = 171,308,364,860.35
  5. Step 5: Solve for x
    x = 171,308,364,860.35/468,825.76
  6. Step 6: Final answer
    x = 365,398.79

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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.