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Finding the Fourth Proportional to 314,000.68, 433,101.30 and 206,536.36

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Solution

The fourth proportional to 314,000.68, 433,101.30 and 206,536.36 is: 284,875.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,000.68 : 433,101.30 = 206,536.36 : x
  2. Step 2: Convert to fraction form
    314,000.68/433,101.30 = 206,536.36/x
  3. Step 3: Cross multiply
    314,000.68x = 433,101.30 × 206,536.36
  4. Step 4: Simplify right side
    314,000.68x = 89,451,166,013.27
  5. Step 5: Solve for x
    x = 89,451,166,013.27/314,000.68
  6. Step 6: Final answer
    x = 284,875.71

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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.