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Finding the Fourth Proportional to 706,709.27, 975,093.90 and 412,313.10

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Solution

The fourth proportional to 706,709.27, 975,093.90 and 412,313.10 is: 568,895.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    706,709.27 : 975,093.90 = 412,313.10 : x
  2. Step 2: Convert to fraction form
    706,709.27/975,093.90 = 412,313.10/x
  3. Step 3: Cross multiply
    706,709.27x = 975,093.90 × 412,313.10
  4. Step 4: Simplify right side
    706,709.27x = 402,043,990,148.72
  5. Step 5: Solve for x
    x = 402,043,990,148.72/706,709.27
  6. Step 6: Final answer
    x = 568,895.87

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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.