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Finding the Fourth Proportional to 313,904.80, 470,789.16 and 114,230.08

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Solution

The fourth proportional to 313,904.80, 470,789.16 and 114,230.08 is: 171,320.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,904.80 : 470,789.16 = 114,230.08 : x
  2. Step 2: Convert to fraction form
    313,904.80/470,789.16 = 114,230.08/x
  3. Step 3: Cross multiply
    313,904.80x = 470,789.16 × 114,230.08
  4. Step 4: Simplify right side
    313,904.80x = 53,778,283,409.93
  5. Step 5: Solve for x
    x = 53,778,283,409.93/313,904.80
  6. Step 6: Final answer
    x = 171,320.36

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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.