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Finding the Fourth Proportional to 410,830.80, 576,822 and 410,830.80

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Solution

The fourth proportional to 410,830.80, 576,822 and 410,830.80 is: 576,822

Step by Step Solution

  1. Step 1: Write the proportion equation
    410,830.80 : 576,822 = 410,830.80 : x
  2. Step 2: Convert to fraction form
    410,830.80/576,822 = 410,830.80/x
  3. Step 3: Cross multiply
    410,830.80x = 576,822 × 410,830.80
  4. Step 4: Simplify right side
    410,830.80x = 236,976,243,717.60
  5. Step 5: Solve for x
    x = 236,976,243,717.60/410,830.80
  6. Step 6: Final answer
    x = 576,822

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.