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Finding the Fourth Proportional to 695,871.14, 960,285.86 and 409,409.64

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Solution

The fourth proportional to 695,871.14, 960,285.86 and 409,409.64 is: 564,975.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    695,871.14 : 960,285.86 = 409,409.64 : x
  2. Step 2: Convert to fraction form
    695,871.14/960,285.86 = 409,409.64/x
  3. Step 3: Cross multiply
    695,871.14x = 960,285.86 × 409,409.64
  4. Step 4: Simplify right side
    695,871.14x = 393,150,288,239.69
  5. Step 5: Solve for x
    x = 393,150,288,239.69/695,871.14
  6. Step 6: Final answer
    x = 564,975.71

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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.