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Finding the Fourth Proportional to 305,215.30, 457,866.15 and 94,831.30

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Solution

The fourth proportional to 305,215.30, 457,866.15 and 94,831.30 is: 142,260.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,215.30 : 457,866.15 = 94,831.30 : x
  2. Step 2: Convert to fraction form
    305,215.30/457,866.15 = 94,831.30/x
  3. Step 3: Cross multiply
    305,215.30x = 457,866.15 × 94,831.30
  4. Step 4: Simplify right side
    305,215.30x = 43,420,042,230.50
  5. Step 5: Solve for x
    x = 43,420,042,230.50/305,215.30
  6. Step 6: Final answer
    x = 142,260.37

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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.