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Finding the Fourth Proportional to 4,651,876.80, 6,978,045.60 and 2,412,388.80

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Solution

The fourth proportional to 4,651,876.80, 6,978,045.60 and 2,412,388.80 is: 3,618,702.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,651,876.80 : 6,978,045.60 = 2,412,388.80 : x
  2. Step 2: Convert to fraction form
    4,651,876.80/6,978,045.60 = 2,412,388.80/x
  3. Step 3: Cross multiply
    4,651,876.80x = 6,978,045.60 × 2,412,388.80
  4. Step 4: Simplify right side
    4,651,876.80x = 16,833,759,051,329.28
  5. Step 5: Solve for x
    x = 16,833,759,051,329.28/4,651,876.80
  6. Step 6: Final answer
    x = 3,618,702.68

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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.