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Finding the Fourth Proportional to 305,286.40, 457,922.40 and 83,670.40

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Solution

The fourth proportional to 305,286.40, 457,922.40 and 83,670.40 is: 125,503.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,286.40 : 457,922.40 = 83,670.40 : x
  2. Step 2: Convert to fraction form
    305,286.40/457,922.40 = 83,670.40/x
  3. Step 3: Cross multiply
    305,286.40x = 457,922.40 × 83,670.40
  4. Step 4: Simplify right side
    305,286.40x = 38,314,550,376.96
  5. Step 5: Solve for x
    x = 38,314,550,376.96/305,286.40
  6. Step 6: Final answer
    x = 125,503.63

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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.