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Finding the Fourth Proportional to 843,850.80, 1,164,512.16 and 461,874.24

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Solution

The fourth proportional to 843,850.80, 1,164,512.16 and 461,874.24 is: 637,385.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    843,850.80 : 1,164,512.16 = 461,874.24 : x
  2. Step 2: Convert to fraction form
    843,850.80/1,164,512.16 = 461,874.24/x
  3. Step 3: Cross multiply
    843,850.80x = 1,164,512.16 × 461,874.24
  4. Step 4: Simplify right side
    843,850.80x = 537,858,168,870.76
  5. Step 5: Solve for x
    x = 537,858,168,870.76/843,850.80
  6. Step 6: Final answer
    x = 637,385.39

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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.