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Finding the Fourth Proportional to 412,834.40, 620,651.40 and 329,657.12

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Solution

The fourth proportional to 412,834.40, 620,651.40 and 329,657.12 is: 495,603.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    412,834.40 : 620,651.40 = 329,657.12 : x
  2. Step 2: Convert to fraction form
    412,834.40/620,651.40 = 329,657.12/x
  3. Step 3: Cross multiply
    412,834.40x = 620,651.40 × 329,657.12
  4. Step 4: Simplify right side
    412,834.40x = 204,602,153,047.97
  5. Step 5: Solve for x
    x = 204,602,153,047.97/412,834.40
  6. Step 6: Final answer
    x = 495,603.45

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.