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Finding the Fourth Proportional to 465,672, 642,628.17 and 264,468

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Solution

The fourth proportional to 465,672, 642,628.17 and 264,468 is: 364,966.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    465,672 : 642,628.17 = 264,468 : x
  2. Step 2: Convert to fraction form
    465,672/642,628.17 = 264,468/x
  3. Step 3: Cross multiply
    465,672x = 642,628.17 × 264,468
  4. Step 4: Simplify right side
    465,672x = 169,954,586,863.56
  5. Step 5: Solve for x
    x = 169,954,586,863.56/465,672
  6. Step 6: Final answer
    x = 364,966.30

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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.