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Finding the Fourth Proportional to 313,876.40, 470,666.20 and 114,057.52

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Solution

The fourth proportional to 313,876.40, 470,666.20 and 114,057.52 is: 171,032.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,876.40 : 470,666.20 = 114,057.52 : x
  2. Step 2: Convert to fraction form
    313,876.40/470,666.20 = 114,057.52/x
  3. Step 3: Cross multiply
    313,876.40x = 470,666.20 × 114,057.52
  4. Step 4: Simplify right side
    313,876.40x = 53,683,019,519.82
  5. Step 5: Solve for x
    x = 53,683,019,519.82/313,876.40
  6. Step 6: Final answer
    x = 171,032.35

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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.