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Finding the Fourth Proportional to 470,994.24, 706,491.54 and 116,015.16

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Solution

The fourth proportional to 470,994.24, 706,491.54 and 116,015.16 is: 174,022.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,994.24 : 706,491.54 = 116,015.16 : x
  2. Step 2: Convert to fraction form
    470,994.24/706,491.54 = 116,015.16/x
  3. Step 3: Cross multiply
    470,994.24x = 706,491.54 × 116,015.16
  4. Step 4: Simplify right side
    470,994.24x = 81,963,729,051.75
  5. Step 5: Solve for x
    x = 81,963,729,051.75/470,994.24
  6. Step 6: Final answer
    x = 174,022.78

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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.