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Finding the Fourth Proportional to 416,176.70, 624,265.05 and 416,176.70

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Solution

The fourth proportional to 416,176.70, 624,265.05 and 416,176.70 is: 624,265.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    416,176.70 : 624,265.05 = 416,176.70 : x
  2. Step 2: Convert to fraction form
    416,176.70/624,265.05 = 416,176.70/x
  3. Step 3: Cross multiply
    416,176.70x = 624,265.05 × 416,176.70
  4. Step 4: Simplify right side
    416,176.70x = 259,804,568,434.34
  5. Step 5: Solve for x
    x = 259,804,568,434.34/416,176.70
  6. Step 6: Final answer
    x = 624,265.05

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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.