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Finding the Fourth Proportional to 447,683.82, 671,759.04 and 198,307.50

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Solution

The fourth proportional to 447,683.82, 671,759.04 and 198,307.50 is: 297,564.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    447,683.82 : 671,759.04 = 198,307.50 : x
  2. Step 2: Convert to fraction form
    447,683.82/671,759.04 = 198,307.50/x
  3. Step 3: Cross multiply
    447,683.82x = 671,759.04 × 198,307.50
  4. Step 4: Simplify right side
    447,683.82x = 133,214,855,824.80
  5. Step 5: Solve for x
    x = 133,214,855,824.80/447,683.82
  6. Step 6: Final answer
    x = 297,564.60

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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.