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Finding the Fourth Proportional to 313,754.19, 432,984.12 and 170,514.23

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Solution

The fourth proportional to 313,754.19, 432,984.12 and 170,514.23 is: 235,311.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,754.19 : 432,984.12 = 170,514.23 : x
  2. Step 2: Convert to fraction form
    313,754.19/432,984.12 = 170,514.23/x
  3. Step 3: Cross multiply
    313,754.19x = 432,984.12 × 170,514.23
  4. Step 4: Simplify right side
    313,754.19x = 73,829,951,019.68
  5. Step 5: Solve for x
    x = 73,829,951,019.68/313,754.19
  6. Step 6: Final answer
    x = 235,311.45

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.