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Finding the Fourth Proportional to 316,351.76, 436,576.38 and 180,406.22

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Solution

The fourth proportional to 316,351.76, 436,576.38 and 180,406.22 is: 248,966.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    316,351.76 : 436,576.38 = 180,406.22 : x
  2. Step 2: Convert to fraction form
    316,351.76/436,576.38 = 180,406.22/x
  3. Step 3: Cross multiply
    316,351.76x = 436,576.38 × 180,406.22
  4. Step 4: Simplify right side
    316,351.76x = 78,761,094,457.08
  5. Step 5: Solve for x
    x = 78,761,094,457.08/316,351.76
  6. Step 6: Final answer
    x = 248,966.83

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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.