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Finding the Fourth Proportional to 313,101.74, 432,080.55 and 169,861.74

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Solution

The fourth proportional to 313,101.74, 432,080.55 and 169,861.74 is: 234,409.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,101.74 : 432,080.55 = 169,861.74 : x
  2. Step 2: Convert to fraction form
    313,101.74/432,080.55 = 169,861.74/x
  3. Step 3: Cross multiply
    313,101.74x = 432,080.55 × 169,861.74
  4. Step 4: Simplify right side
    313,101.74x = 73,393,954,043.16
  5. Step 5: Solve for x
    x = 73,393,954,043.16/313,101.74
  6. Step 6: Final answer
    x = 234,409.28

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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.