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Finding the Fourth Proportional to 364,354.75, 502,853.43 and 213,451.75

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Solution

The fourth proportional to 364,354.75, 502,853.43 and 213,451.75 is: 294,589.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    364,354.75 : 502,853.43 = 213,451.75 : x
  2. Step 2: Convert to fraction form
    364,354.75/502,853.43 = 213,451.75/x
  3. Step 3: Cross multiply
    364,354.75x = 502,853.43 × 213,451.75
  4. Step 4: Simplify right side
    364,354.75x = 107,334,944,627.00
  5. Step 5: Solve for x
    x = 107,334,944,627.00/364,354.75
  6. Step 6: Final answer
    x = 294,589.12

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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.