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Finding the Fourth Proportional to 519,516.40, 777,962.40 and 414,540.40

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Solution

The fourth proportional to 519,516.40, 777,962.40 and 414,540.40 is: 620,763.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    519,516.40 : 777,962.40 = 414,540.40 : x
  2. Step 2: Convert to fraction form
    519,516.40/777,962.40 = 414,540.40/x
  3. Step 3: Cross multiply
    519,516.40x = 777,962.40 × 414,540.40
  4. Step 4: Simplify right side
    519,516.40x = 322,496,844,480.96
  5. Step 5: Solve for x
    x = 322,496,844,480.96/519,516.40
  6. Step 6: Final answer
    x = 620,763.55

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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.