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Finding the Fourth Proportional to 313,009.44, 469,572.48 and 102,707.52

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Solution

The fourth proportional to 313,009.44, 469,572.48 and 102,707.52 is: 154,080.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,009.44 : 469,572.48 = 102,707.52 : x
  2. Step 2: Convert to fraction form
    313,009.44/469,572.48 = 102,707.52/x
  3. Step 3: Cross multiply
    313,009.44x = 469,572.48 × 102,707.52
  4. Step 4: Simplify right side
    313,009.44x = 48,228,624,881.05
  5. Step 5: Solve for x
    x = 48,228,624,881.05/313,009.44
  6. Step 6: Final answer
    x = 154,080.42

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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.