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Finding the Fourth Proportional to 294,595.96, 406,403.22 and 199,136.20

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Solution

The fourth proportional to 294,595.96, 406,403.22 and 199,136.20 is: 274,713.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    294,595.96 : 406,403.22 = 199,136.20 : x
  2. Step 2: Convert to fraction form
    294,595.96/406,403.22 = 199,136.20/x
  3. Step 3: Cross multiply
    294,595.96x = 406,403.22 × 199,136.20
  4. Step 4: Simplify right side
    294,595.96x = 80,929,592,898.56
  5. Step 5: Solve for x
    x = 80,929,592,898.56/294,595.96
  6. Step 6: Final answer
    x = 274,713.86

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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.