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Finding the Fourth Proportional to 314,416.97, 433,903.21 and 171,184.87

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Solution

The fourth proportional to 314,416.97, 433,903.21 and 171,184.87 is: 236,239.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,416.97 : 433,903.21 = 171,184.87 : x
  2. Step 2: Convert to fraction form
    314,416.97/433,903.21 = 171,184.87/x
  3. Step 3: Cross multiply
    314,416.97x = 433,903.21 × 171,184.87
  4. Step 4: Simplify right side
    314,416.97x = 74,277,664,596.43
  5. Step 5: Solve for x
    x = 74,277,664,596.43/314,416.97
  6. Step 6: Final answer
    x = 236,239.36

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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.