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Finding the Fourth Proportional to 303,051.71, 418,260.62 and 182,315

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Solution

The fourth proportional to 303,051.71, 418,260.62 and 182,315 is: 251,624.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    303,051.71 : 418,260.62 = 182,315 : x
  2. Step 2: Convert to fraction form
    303,051.71/418,260.62 = 182,315/x
  3. Step 3: Cross multiply
    303,051.71x = 418,260.62 × 182,315
  4. Step 4: Simplify right side
    303,051.71x = 76,255,184,023.73
  5. Step 5: Solve for x
    x = 76,255,184,023.73/303,051.71
  6. Step 6: Final answer
    x = 251,624.33

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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.