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Finding the Fourth Proportional to 412,861.10, 577,305.70 and 412,861.10

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Solution

The fourth proportional to 412,861.10, 577,305.70 and 412,861.10 is: 577,305.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    412,861.10 : 577,305.70 = 412,861.10 : x
  2. Step 2: Convert to fraction form
    412,861.10/577,305.70 = 412,861.10/x
  3. Step 3: Cross multiply
    412,861.10x = 577,305.70 × 412,861.10
  4. Step 4: Simplify right side
    412,861.10x = 238,347,066,338.27
  5. Step 5: Solve for x
    x = 238,347,066,338.27/412,861.10
  6. Step 6: Final answer
    x = 577,305.70

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.