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Finding the Fourth Proportional to 314,407.82, 433,992.12 and 187,080.68

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Solution

The fourth proportional to 314,407.82, 433,992.12 and 187,080.68 is: 258,236.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,407.82 : 433,992.12 = 187,080.68 : x
  2. Step 2: Convert to fraction form
    314,407.82/433,992.12 = 187,080.68/x
  3. Step 3: Cross multiply
    314,407.82x = 433,992.12 × 187,080.68
  4. Step 4: Simplify right side
    314,407.82x = 81,191,540,924.24
  5. Step 5: Solve for x
    x = 81,191,540,924.24/314,407.82
  6. Step 6: Final answer
    x = 258,236.39

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1.5x scale

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.