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Finding the Fourth Proportional to 313,465.16, 470,197.74 and 76,805.79

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Solution

The fourth proportional to 313,465.16, 470,197.74 and 76,805.79 is: 115,208.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,465.16 : 470,197.74 = 76,805.79 : x
  2. Step 2: Convert to fraction form
    313,465.16/470,197.74 = 76,805.79/x
  3. Step 3: Cross multiply
    313,465.16x = 470,197.74 × 76,805.79
  4. Step 4: Simplify right side
    313,465.16x = 36,113,908,876.91
  5. Step 5: Solve for x
    x = 36,113,908,876.91/313,465.16
  6. Step 6: Final answer
    x = 115,208.69

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.