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Finding the Fourth Proportional to 470,960.16, 706,464.60 and 155,441.64

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Solution

The fourth proportional to 470,960.16, 706,464.60 and 155,441.64 is: 233,170.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,960.16 : 706,464.60 = 155,441.64 : x
  2. Step 2: Convert to fraction form
    470,960.16/706,464.60 = 155,441.64/x
  3. Step 3: Cross multiply
    470,960.16x = 706,464.60 × 155,441.64
  4. Step 4: Simplify right side
    470,960.16x = 109,814,016,025.94
  5. Step 5: Solve for x
    x = 109,814,016,025.94/470,960.16
  6. Step 6: Final answer
    x = 233,170.50

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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.