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Finding the Fourth Proportional to 489,385.40, 734,078.10 and 414,735.80

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Solution

The fourth proportional to 489,385.40, 734,078.10 and 414,735.80 is: 622,103.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    489,385.40 : 734,078.10 = 414,735.80 : x
  2. Step 2: Convert to fraction form
    489,385.40/734,078.10 = 414,735.80/x
  3. Step 3: Cross multiply
    489,385.40x = 734,078.10 × 414,735.80
  4. Step 4: Simplify right side
    489,385.40x = 304,448,468,065.98
  5. Step 5: Solve for x
    x = 304,448,468,065.98/489,385.40
  6. Step 6: Final answer
    x = 622,103.70

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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.