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Finding the Fourth Proportional to 305,134.40, 457,694.40 and 83,518.40

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Solution

The fourth proportional to 305,134.40, 457,694.40 and 83,518.40 is: 125,275.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,134.40 : 457,694.40 = 83,518.40 : x
  2. Step 2: Convert to fraction form
    305,134.40/457,694.40 = 83,518.40/x
  3. Step 3: Cross multiply
    305,134.40x = 457,694.40 × 83,518.40
  4. Step 4: Simplify right side
    305,134.40x = 38,225,903,976.96
  5. Step 5: Solve for x
    x = 38,225,903,976.96/305,134.40
  6. Step 6: Final answer
    x = 125,275.63

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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.