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Finding the Fourth Proportional to 313,822.30, 470,733.46 and 313,822.30

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Solution

The fourth proportional to 313,822.30, 470,733.46 and 313,822.30 is: 470,733.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,822.30 : 470,733.46 = 313,822.30 : x
  2. Step 2: Convert to fraction form
    313,822.30/470,733.46 = 313,822.30/x
  3. Step 3: Cross multiply
    313,822.30x = 470,733.46 × 313,822.30
  4. Step 4: Simplify right side
    313,822.30x = 147,726,657,104.16
  5. Step 5: Solve for x
    x = 147,726,657,104.16/313,822.30
  6. Step 6: Final answer
    x = 470,733.46

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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.