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Finding the Fourth Proportional to 316,276.28, 436,389.90 and 188,927

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Solution

The fourth proportional to 316,276.28, 436,389.90 and 188,927 is: 260,676.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    316,276.28 : 436,389.90 = 188,927 : x
  2. Step 2: Convert to fraction form
    316,276.28/436,389.90 = 188,927/x
  3. Step 3: Cross multiply
    316,276.28x = 436,389.90 × 188,927
  4. Step 4: Simplify right side
    316,276.28x = 82,445,834,637.30
  5. Step 5: Solve for x
    x = 82,445,834,637.30/316,276.28
  6. Step 6: Final answer
    x = 260,676.63

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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.