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Finding the Fourth Proportional to 470,732.75, 706,092.98 and 115,749.84

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Solution

The fourth proportional to 470,732.75, 706,092.98 and 115,749.84 is: 173,623.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,732.75 : 706,092.98 = 115,749.84 : x
  2. Step 2: Convert to fraction form
    470,732.75/706,092.98 = 115,749.84/x
  3. Step 3: Cross multiply
    470,732.75x = 706,092.98 × 115,749.84
  4. Step 4: Simplify right side
    470,732.75x = 81,730,148,881.37
  5. Step 5: Solve for x
    x = 81,730,148,881.37/470,732.75
  6. Step 6: Final answer
    x = 173,623.25

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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.