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Finding the Fourth Proportional to 313,418.16, 470,124 and 76,762.08

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Solution

The fourth proportional to 313,418.16, 470,124 and 76,762.08 is: 115,142.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,418.16 : 470,124 = 76,762.08 : x
  2. Step 2: Convert to fraction form
    313,418.16/470,124 = 76,762.08/x
  3. Step 3: Cross multiply
    313,418.16x = 470,124 × 76,762.08
  4. Step 4: Simplify right side
    313,418.16x = 36,087,696,097.92
  5. Step 5: Solve for x
    x = 36,087,696,097.92/313,418.16
  6. Step 6: Final answer
    x = 115,142.33

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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.