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Finding the Fourth Proportional to 5,994,447.60, 8,968,051.80 and 5,204,503.20

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Solution

The fourth proportional to 5,994,447.60, 8,968,051.80 and 5,204,503.20 is: 7,786,247.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,994,447.60 : 8,968,051.80 = 5,204,503.20 : x
  2. Step 2: Convert to fraction form
    5,994,447.60/8,968,051.80 = 5,204,503.20/x
  3. Step 3: Cross multiply
    5,994,447.60x = 8,968,051.80 × 5,204,503.20
  4. Step 4: Simplify right side
    5,994,447.60x = 46,674,254,290,865.77
  5. Step 5: Solve for x
    x = 46,674,254,290,865.77/5,994,447.60
  6. Step 6: Final answer
    x = 7,786,247.78

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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.