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Finding the Fourth Proportional to 314,000.64, 433,101.33 and 206,536.32

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Solution

The fourth proportional to 314,000.64, 433,101.33 and 206,536.32 is: 284,875.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,000.64 : 433,101.33 = 206,536.32 : x
  2. Step 2: Convert to fraction form
    314,000.64/433,101.33 = 206,536.32/x
  3. Step 3: Cross multiply
    314,000.64x = 433,101.33 × 206,536.32
  4. Step 4: Simplify right side
    314,000.64x = 89,451,154,885.31
  5. Step 5: Solve for x
    x = 89,451,154,885.31/314,000.64
  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.