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Finding the Fourth Proportional to 314,050.35, 470,917.85 and 145,425.63

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Solution

The fourth proportional to 314,050.35, 470,917.85 and 145,425.63 is: 218,065.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,050.35 : 470,917.85 = 145,425.63 : x
  2. Step 2: Convert to fraction form
    314,050.35/470,917.85 = 145,425.63/x
  3. Step 3: Cross multiply
    314,050.35x = 470,917.85 × 145,425.63
  4. Step 4: Simplify right side
    314,050.35x = 68,483,524,287.37
  5. Step 5: Solve for x
    x = 68,483,524,287.37/314,050.35
  6. Step 6: Final answer
    x = 218,065.43

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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.