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Finding the Fourth Proportional to 313,734, 470,392.92 and 114,030.66

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Solution

The fourth proportional to 313,734, 470,392.92 and 114,030.66 is: 170,970.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,734 : 470,392.92 = 114,030.66 : x
  2. Step 2: Convert to fraction form
    313,734/470,392.92 = 114,030.66/x
  3. Step 3: Cross multiply
    313,734x = 470,392.92 × 114,030.66
  4. Step 4: Simplify right side
    313,734x = 53,639,215,126.93
  5. Step 5: Solve for x
    x = 53,639,215,126.93/313,734
  6. Step 6: Final answer
    x = 170,970.36

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