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Finding the Fourth Proportional to 313,409.41, 432,498.46 and 170,169.58

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Solution

The fourth proportional to 313,409.41, 432,498.46 and 170,169.58 is: 234,830.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,409.41 : 432,498.46 = 170,169.58 : x
  2. Step 2: Convert to fraction form
    313,409.41/432,498.46 = 170,169.58/x
  3. Step 3: Cross multiply
    313,409.41x = 432,498.46 × 170,169.58
  4. Step 4: Simplify right side
    313,409.41x = 73,598,081,288.85
  5. Step 5: Solve for x
    x = 73,598,081,288.85/313,409.41
  6. Step 6: Final answer
    x = 234,830.48

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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.