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Finding the Fourth Proportional to 409,628.50, 614,546.43 and 114,140.50

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Solution

The fourth proportional to 409,628.50, 614,546.43 and 114,140.50 is: 171,239.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,628.50 : 614,546.43 = 114,140.50 : x
  2. Step 2: Convert to fraction form
    409,628.50/614,546.43 = 114,140.50/x
  3. Step 3: Cross multiply
    409,628.50x = 614,546.43 × 114,140.50
  4. Step 4: Simplify right side
    409,628.50x = 70,144,636,793.42
  5. Step 5: Solve for x
    x = 70,144,636,793.42/409,628.50
  6. Step 6: Final answer
    x = 171,239.64

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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.