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Finding the Fourth Proportional to 311,524.22, 429,903.06 and 168,284.24

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Solution

The fourth proportional to 311,524.22, 429,903.06 and 168,284.24 is: 232,232.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,524.22 : 429,903.06 = 168,284.24 : x
  2. Step 2: Convert to fraction form
    311,524.22/429,903.06 = 168,284.24/x
  3. Step 3: Cross multiply
    311,524.22x = 429,903.06 × 168,284.24
  4. Step 4: Simplify right side
    311,524.22x = 72,345,909,725.77
  5. Step 5: Solve for x
    x = 72,345,909,725.77/311,524.22
  6. Step 6: Final answer
    x = 232,232.05

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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.