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Finding the Fourth Proportional to 364,082.58, 502,422.32 and 228,189.90

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Solution

The fourth proportional to 364,082.58, 502,422.32 and 228,189.90 is: 314,894.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    364,082.58 : 502,422.32 = 228,189.90 : x
  2. Step 2: Convert to fraction form
    364,082.58/502,422.32 = 228,189.90/x
  3. Step 3: Cross multiply
    364,082.58x = 502,422.32 × 228,189.90
  4. Step 4: Simplify right side
    364,082.58x = 114,647,698,958.57
  5. Step 5: Solve for x
    x = 114,647,698,958.57/364,082.58
  6. Step 6: Final answer
    x = 314,894.77

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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.