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Finding the Fourth Proportional to 313,973.76, 470,976.90 and 103,628.08

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Solution

The fourth proportional to 313,973.76, 470,976.90 and 103,628.08 is: 155,447.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,973.76 : 470,976.90 = 103,628.08 : x
  2. Step 2: Convert to fraction form
    313,973.76/470,976.90 = 103,628.08/x
  3. Step 3: Cross multiply
    313,973.76x = 470,976.90 × 103,628.08
  4. Step 4: Simplify right side
    313,973.76x = 48,806,431,871.35
  5. Step 5: Solve for x
    x = 48,806,431,871.35/313,973.76
  6. Step 6: Final answer
    x = 155,447.49

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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.