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Finding the Fourth Proportional to 313,193.39, 432,200.81 and 177,224.83

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Solution

The fourth proportional to 313,193.39, 432,200.81 and 177,224.83 is: 244,566.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,193.39 : 432,200.81 = 177,224.83 : x
  2. Step 2: Convert to fraction form
    313,193.39/432,200.81 = 177,224.83/x
  3. Step 3: Cross multiply
    313,193.39x = 432,200.81 × 177,224.83
  4. Step 4: Simplify right side
    313,193.39x = 76,596,714,440.67
  5. Step 5: Solve for x
    x = 76,596,714,440.67/313,193.39
  6. Step 6: Final answer
    x = 244,566.83

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.