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Finding the Fourth Proportional to 470,920.70, 706,381.05 and 115,930.10

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Solution

The fourth proportional to 470,920.70, 706,381.05 and 115,930.10 is: 173,895.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,920.70 : 706,381.05 = 115,930.10 : x
  2. Step 2: Convert to fraction form
    470,920.70/706,381.05 = 115,930.10/x
  3. Step 3: Cross multiply
    470,920.70x = 706,381.05 × 115,930.10
  4. Step 4: Simplify right side
    470,920.70x = 81,890,825,764.61
  5. Step 5: Solve for x
    x = 81,890,825,764.61/470,920.70
  6. Step 6: Final answer
    x = 173,895.15

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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.