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Finding the Fourth Proportional to 364,500.12, 503,010.54 and 213,597

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Solution

The fourth proportional to 364,500.12, 503,010.54 and 213,597 is: 294,764.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    364,500.12 : 503,010.54 = 213,597 : x
  2. Step 2: Convert to fraction form
    364,500.12/503,010.54 = 213,597/x
  3. Step 3: Cross multiply
    364,500.12x = 503,010.54 × 213,597
  4. Step 4: Simplify right side
    364,500.12x = 107,441,542,312.38
  5. Step 5: Solve for x
    x = 107,441,542,312.38/364,500.12
  6. Step 6: Final answer
    x = 294,764.08

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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.