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Finding the Fourth Proportional to 696,682.56, 961,410.38 and 406,462.87

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Solution

The fourth proportional to 696,682.56, 961,410.38 and 406,462.87 is: 560,912.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    696,682.56 : 961,410.38 = 406,462.87 : x
  2. Step 2: Convert to fraction form
    696,682.56/961,410.38 = 406,462.87/x
  3. Step 3: Cross multiply
    696,682.56x = 961,410.38 × 406,462.87
  4. Step 4: Simplify right side
    696,682.56x = 390,777,617,866.75
  5. Step 5: Solve for x
    x = 390,777,617,866.75/696,682.56
  6. Step 6: Final answer
    x = 560,912.01

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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.