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Finding the Fourth Proportional to 313,884.32, 433,165.29 and 170,644.91

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Solution

The fourth proportional to 313,884.32, 433,165.29 and 170,644.91 is: 235,492.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,884.32 : 433,165.29 = 170,644.91 : x
  2. Step 2: Convert to fraction form
    313,884.32/433,165.29 = 170,644.91/x
  3. Step 3: Cross multiply
    313,884.32x = 433,165.29 × 170,644.91
  4. Step 4: Simplify right side
    313,884.32x = 73,917,451,927.17
  5. Step 5: Solve for x
    x = 73,917,451,927.17/313,884.32
  6. Step 6: Final answer
    x = 235,492.66

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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.