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Finding the Fourth Proportional to 360,027.94, 496,899.21 and 209,212.42

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Solution

The fourth proportional to 360,027.94, 496,899.21 and 209,212.42 is: 288,748.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    360,027.94 : 496,899.21 = 209,212.42 : x
  2. Step 2: Convert to fraction form
    360,027.94/496,899.21 = 209,212.42/x
  3. Step 3: Cross multiply
    360,027.94x = 496,899.21 × 209,212.42
  4. Step 4: Simplify right side
    360,027.94x = 103,957,486,220.19
  5. Step 5: Solve for x
    x = 103,957,486,220.19/360,027.94
  6. Step 6: Final answer
    x = 288,748.38

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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.