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Finding the Fourth Proportional to 465,701, 642,667.38 and 253,733

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Solution

The fourth proportional to 465,701, 642,667.38 and 253,733 is: 350,151.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    465,701 : 642,667.38 = 253,733 : x
  2. Step 2: Convert to fraction form
    465,701/642,667.38 = 253,733/x
  3. Step 3: Cross multiply
    465,701x = 642,667.38 × 253,733
  4. Step 4: Simplify right side
    465,701x = 163,065,922,329.54
  5. Step 5: Solve for x
    x = 163,065,922,329.54/465,701
  6. Step 6: Final answer
    x = 350,151.54

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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.