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Finding the Fourth Proportional to 589,550.80, 814,197.68 and 406,265.92

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Solution

The fourth proportional to 589,550.80, 814,197.68 and 406,265.92 is: 561,072.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    589,550.80 : 814,197.68 = 406,265.92 : x
  2. Step 2: Convert to fraction form
    589,550.80/814,197.68 = 406,265.92/x
  3. Step 3: Cross multiply
    589,550.80x = 814,197.68 × 406,265.92
  4. Step 4: Simplify right side
    589,550.80x = 330,780,769,527.07
  5. Step 5: Solve for x
    x = 330,780,769,527.07/589,550.80
  6. Step 6: Final answer
    x = 561,072.55

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1.5x scale

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.