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Finding the Fourth Proportional to 5,999,404.32, 8,999,164.80 and 1,511,680.32

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Solution

The fourth proportional to 5,999,404.32, 8,999,164.80 and 1,511,680.32 is: 2,267,535.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,999,404.32 : 8,999,164.80 = 1,511,680.32 : x
  2. Step 2: Convert to fraction form
    5,999,404.32/8,999,164.80 = 1,511,680.32/x
  3. Step 3: Cross multiply
    5,999,404.32x = 8,999,164.80 × 1,511,680.32
  4. Step 4: Simplify right side
    5,999,404.32x = 13,603,860,324,596.74
  5. Step 5: Solve for x
    x = 13,603,860,324,596.74/5,999,404.32
  6. Step 6: Final answer
    x = 2,267,535.17

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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.