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Finding the Fourth Proportional to 470,998.82, 706,308.02 and 182,658.66

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Solution

The fourth proportional to 470,998.82, 706,308.02 and 182,658.66 is: 273,914.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,998.82 : 706,308.02 = 182,658.66 : x
  2. Step 2: Convert to fraction form
    470,998.82/706,308.02 = 182,658.66/x
  3. Step 3: Cross multiply
    470,998.82x = 706,308.02 × 182,658.66
  4. Step 4: Simplify right side
    470,998.82x = 129,013,275,567.16
  5. Step 5: Solve for x
    x = 129,013,275,567.16/470,998.82
  6. Step 6: Final answer
    x = 273,914.23

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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.