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Finding the Fourth Proportional to 313,954.46, 433,254.16 and 170,714.60

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Solution

The fourth proportional to 313,954.46, 433,254.16 and 170,714.60 is: 235,584.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,954.46 : 433,254.16 = 170,714.60 : x
  2. Step 2: Convert to fraction form
    313,954.46/433,254.16 = 170,714.60/x
  3. Step 3: Cross multiply
    313,954.46x = 433,254.16 × 170,714.60
  4. Step 4: Simplify right side
    313,954.46x = 73,962,810,622.74
  5. Step 5: Solve for x
    x = 73,962,810,622.74/313,954.46
  6. Step 6: Final answer
    x = 235,584.52

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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.