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Finding the Fourth Proportional to 562,806.05, 777,353.96 and 409,601.30

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Solution

The fourth proportional to 562,806.05, 777,353.96 and 409,601.30 is: 565,745.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    562,806.05 : 777,353.96 = 409,601.30 : x
  2. Step 2: Convert to fraction form
    562,806.05/777,353.96 = 409,601.30/x
  3. Step 3: Cross multiply
    562,806.05x = 777,353.96 × 409,601.30
  4. Step 4: Simplify right side
    562,806.05x = 318,405,189,713.38
  5. Step 5: Solve for x
    x = 318,405,189,713.38/562,806.05
  6. Step 6: Final answer
    x = 565,745.86

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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.