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Finding the Fourth Proportional to 313,869.28, 470,656.48 and 114,048.76

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Solution

The fourth proportional to 313,869.28, 470,656.48 and 114,048.76 is: 171,019.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,869.28 : 470,656.48 = 114,048.76 : x
  2. Step 2: Convert to fraction form
    313,869.28/470,656.48 = 114,048.76/x
  3. Step 3: Cross multiply
    313,869.28x = 470,656.48 × 114,048.76
  4. Step 4: Simplify right side
    313,869.28x = 53,677,787,929.96
  5. Step 5: Solve for x
    x = 53,677,787,929.96/313,869.28
  6. Step 6: Final answer
    x = 171,019.57

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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.