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Finding the Fourth Proportional to 698,257.12, 1,046,409 and 377,716.84

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Solution

The fourth proportional to 698,257.12, 1,046,409 and 377,716.84 is: 566,046.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    698,257.12 : 1,046,409 = 377,716.84 : x
  2. Step 2: Convert to fraction form
    698,257.12/1,046,409 = 377,716.84/x
  3. Step 3: Cross multiply
    698,257.12x = 1,046,409 × 377,716.84
  4. Step 4: Simplify right side
    698,257.12x = 395,246,300,827.56
  5. Step 5: Solve for x
    x = 395,246,300,827.56/698,257.12
  6. Step 6: Final answer
    x = 566,046.93

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.