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Finding the Fourth Proportional to 507,638.23, 700,451.96 and 289,747.42

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Solution

The fourth proportional to 507,638.23, 700,451.96 and 289,747.42 is: 399,800.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    507,638.23 : 700,451.96 = 289,747.42 : x
  2. Step 2: Convert to fraction form
    507,638.23/700,451.96 = 289,747.42/x
  3. Step 3: Cross multiply
    507,638.23x = 700,451.96 × 289,747.42
  4. Step 4: Simplify right side
    507,638.23x = 202,954,148,243.94
  5. Step 5: Solve for x
    x = 202,954,148,243.94/507,638.23
  6. Step 6: Final answer
    x = 399,800.76

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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.