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Finding the Fourth Proportional to 314,103.22, 433,465.76 and 170,863.63

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Solution

The fourth proportional to 314,103.22, 433,465.76 and 170,863.63 is: 235,793.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,103.22 : 433,465.76 = 170,863.63 : x
  2. Step 2: Convert to fraction form
    314,103.22/433,465.76 = 170,863.63/x
  3. Step 3: Cross multiply
    314,103.22x = 433,465.76 × 170,863.63
  4. Step 4: Simplify right side
    314,103.22x = 74,063,532,577.80
  5. Step 5: Solve for x
    x = 74,063,532,577.80/314,103.22
  6. Step 6: Final answer
    x = 235,793.61

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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.