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Finding the Fourth Proportional to 314,077.68, 433,539.96 and 186,753

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Solution

The fourth proportional to 314,077.68, 433,539.96 and 186,753 is: 257,786.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,077.68 : 433,539.96 = 186,753 : x
  2. Step 2: Convert to fraction form
    314,077.68/433,539.96 = 186,753/x
  3. Step 3: Cross multiply
    314,077.68x = 433,539.96 × 186,753
  4. Step 4: Simplify right side
    314,077.68x = 80,964,888,149.88
  5. Step 5: Solve for x
    x = 80,964,888,149.88/314,077.68
  6. Step 6: Final answer
    x = 257,786.19

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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.