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Finding the Fourth Proportional to 314,325.40, 433,778.46 and 193,536.40

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Solution

The fourth proportional to 314,325.40, 433,778.46 and 193,536.40 is: 267,086.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,325.40 : 433,778.46 = 193,536.40 : x
  2. Step 2: Convert to fraction form
    314,325.40/433,778.46 = 193,536.40/x
  3. Step 3: Cross multiply
    314,325.40x = 433,778.46 × 193,536.40
  4. Step 4: Simplify right side
    314,325.40x = 83,951,921,545.94
  5. Step 5: Solve for x
    x = 83,951,921,545.94/314,325.40
  6. Step 6: Final answer
    x = 267,086.02

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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.