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Finding the Fourth Proportional to 310,900.74, 465,385.74 and 168,392.06

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Solution

The fourth proportional to 310,900.74, 465,385.74 and 168,392.06 is: 252,065.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,900.74 : 465,385.74 = 168,392.06 : x
  2. Step 2: Convert to fraction form
    310,900.74/465,385.74 = 168,392.06/x
  3. Step 3: Cross multiply
    310,900.74x = 465,385.74 × 168,392.06
  4. Step 4: Simplify right side
    310,900.74x = 78,367,263,453.22
  5. Step 5: Solve for x
    x = 78,367,263,453.22/310,900.74
  6. Step 6: Final answer
    x = 252,065.22

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.