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Finding the Fourth Proportional to 364,503, 503,014.45 and 203,358.08

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Solution

The fourth proportional to 364,503, 503,014.45 and 203,358.08 is: 280,634.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    364,503 : 503,014.45 = 203,358.08 : x
  2. Step 2: Convert to fraction form
    364,503/503,014.45 = 203,358.08/x
  3. Step 3: Cross multiply
    364,503x = 503,014.45 × 203,358.08
  4. Step 4: Simplify right side
    364,503x = 102,292,052,764.26
  5. Step 5: Solve for x
    x = 102,292,052,764.26/364,503
  6. Step 6: Final answer
    x = 280,634.32

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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.