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Finding the Fourth Proportional to 462,093.40, 637,744.14 and 280,834.84

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Solution

The fourth proportional to 462,093.40, 637,744.14 and 280,834.84 is: 387,585.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    462,093.40 : 637,744.14 = 280,834.84 : x
  2. Step 2: Convert to fraction form
    462,093.40/637,744.14 = 280,834.84/x
  3. Step 3: Cross multiply
    462,093.40x = 637,744.14 × 280,834.84
  4. Step 4: Simplify right side
    462,093.40x = 179,100,773,517.84
  5. Step 5: Solve for x
    x = 179,100,773,517.84/462,093.40
  6. Step 6: Final answer
    x = 387,585.66

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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.