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Finding the Fourth Proportional to 314,411.92, 433,839.56 and 180,250

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Solution

The fourth proportional to 314,411.92, 433,839.56 and 180,250 is: 248,716.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,411.92 : 433,839.56 = 180,250 : x
  2. Step 2: Convert to fraction form
    314,411.92/433,839.56 = 180,250/x
  3. Step 3: Cross multiply
    314,411.92x = 433,839.56 × 180,250
  4. Step 4: Simplify right side
    314,411.92x = 78,199,580,690
  5. Step 5: Solve for x
    x = 78,199,580,690/314,411.92
  6. Step 6: Final answer
    x = 248,716.97

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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.