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Finding the Fourth Proportional to 468,714.42, 646,822.26 and 253,849.50

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Solution

The fourth proportional to 468,714.42, 646,822.26 and 253,849.50 is: 350,310.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    468,714.42 : 646,822.26 = 253,849.50 : x
  2. Step 2: Convert to fraction form
    468,714.42/646,822.26 = 253,849.50/x
  3. Step 3: Cross multiply
    468,714.42x = 646,822.26 × 253,849.50
  4. Step 4: Simplify right side
    468,714.42x = 164,195,507,289.87
  5. Step 5: Solve for x
    x = 164,195,507,289.87/468,714.42
  6. Step 6: Final answer
    x = 350,310.34

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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.