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Finding the Fourth Proportional to 648,009.60, 973,180.80 and 470,716.80

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Solution

The fourth proportional to 648,009.60, 973,180.80 and 470,716.80 is: 706,922.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    648,009.60 : 973,180.80 = 470,716.80 : x
  2. Step 2: Convert to fraction form
    648,009.60/973,180.80 = 470,716.80/x
  3. Step 3: Cross multiply
    648,009.60x = 973,180.80 × 470,716.80
  4. Step 4: Simplify right side
    648,009.60x = 458,092,551,997.44
  5. Step 5: Solve for x
    x = 458,092,551,997.44/648,009.60
  6. Step 6: Final answer
    x = 706,922.48

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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.