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Finding the Fourth Proportional to 843,930, 1,164,578.67 and 461,882.88

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Solution

The fourth proportional to 843,930, 1,164,578.67 and 461,882.88 is: 637,373.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    843,930 : 1,164,578.67 = 461,882.88 : x
  2. Step 2: Convert to fraction form
    843,930/1,164,578.67 = 461,882.88/x
  3. Step 3: Cross multiply
    843,930x = 1,164,578.67 × 461,882.88
  4. Step 4: Simplify right side
    843,930x = 537,898,950,086.17
  5. Step 5: Solve for x
    x = 537,898,950,086.17/843,930
  6. Step 6: Final answer
    x = 637,373.89

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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.