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Finding the Fourth Proportional to 316,408.74, 436,622.13 and 180,448.41

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Solution

The fourth proportional to 316,408.74, 436,622.13 and 180,448.41 is: 249,006.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    316,408.74 : 436,622.13 = 180,448.41 : x
  2. Step 2: Convert to fraction form
    316,408.74/436,622.13 = 180,448.41/x
  3. Step 3: Cross multiply
    316,408.74x = 436,622.13 × 180,448.41
  4. Step 4: Simplify right side
    316,408.74x = 78,787,769,129.31
  5. Step 5: Solve for x
    x = 78,787,769,129.31/316,408.74
  6. Step 6: Final answer
    x = 249,006.30

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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.