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Finding the Fourth Proportional to 409,211.70, 613,817.55 and 409,211.70

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Solution

The fourth proportional to 409,211.70, 613,817.55 and 409,211.70 is: 613,817.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,211.70 : 613,817.55 = 409,211.70 : x
  2. Step 2: Convert to fraction form
    409,211.70/613,817.55 = 409,211.70/x
  3. Step 3: Cross multiply
    409,211.70x = 613,817.55 × 409,211.70
  4. Step 4: Simplify right side
    409,211.70x = 251,181,323,125.34
  5. Step 5: Solve for x
    x = 251,181,323,125.34/409,211.70
  6. Step 6: Final answer
    x = 613,817.55

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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.