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Finding the Fourth Proportional to 468,165, 701,952.25 and 257,950.56

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Solution

The fourth proportional to 468,165, 701,952.25 and 257,950.56 is: 386,763.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    468,165 : 701,952.25 = 257,950.56 : x
  2. Step 2: Convert to fraction form
    468,165/701,952.25 = 257,950.56/x
  3. Step 3: Cross multiply
    468,165x = 701,952.25 × 257,950.56
  4. Step 4: Simplify right side
    468,165x = 181,068,975,980.76
  5. Step 5: Solve for x
    x = 181,068,975,980.76/468,165
  6. Step 6: Final answer
    x = 386,763.16

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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.