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Finding the Fourth Proportional to 470,793.96, 706,184.82 and 115,811.10

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Solution

The fourth proportional to 470,793.96, 706,184.82 and 115,811.10 is: 173,715.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,793.96 : 706,184.82 = 115,811.10 : x
  2. Step 2: Convert to fraction form
    470,793.96/706,184.82 = 115,811.10/x
  3. Step 3: Cross multiply
    470,793.96x = 706,184.82 × 115,811.10
  4. Step 4: Simplify right side
    470,793.96x = 81,784,040,807.50
  5. Step 5: Solve for x
    x = 81,784,040,807.50/470,793.96
  6. Step 6: Final answer
    x = 173,715.14

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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.