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Finding the Fourth Proportional to 461,169.42, 636,709.89 and 289,323.01

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Solution

The fourth proportional to 461,169.42, 636,709.89 and 289,323.01 is: 399,451.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    461,169.42 : 636,709.89 = 289,323.01 : x
  2. Step 2: Convert to fraction form
    461,169.42/636,709.89 = 289,323.01/x
  3. Step 3: Cross multiply
    461,169.42x = 636,709.89 × 289,323.01
  4. Step 4: Simplify right side
    461,169.42x = 184,214,821,871.57
  5. Step 5: Solve for x
    x = 184,214,821,871.57/461,169.42
  6. Step 6: Final answer
    x = 399,451.51

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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.