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Finding the Fourth Proportional to 468,167, 701,955.25 and 257,952.56

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Solution

The fourth proportional to 468,167, 701,955.25 and 257,952.56 is: 386,766.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    468,167 : 701,955.25 = 257,952.56 : x
  2. Step 2: Convert to fraction form
    468,167/701,955.25 = 257,952.56/x
  3. Step 3: Cross multiply
    468,167x = 701,955.25 × 257,952.56
  4. Step 4: Simplify right side
    468,167x = 181,071,153,742.94
  5. Step 5: Solve for x
    x = 181,071,153,742.94/468,167
  6. Step 6: Final answer
    x = 386,766.16

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.