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Finding the Fourth Proportional to 456,932.52, 685,381.74 and 119,970.06

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Solution

The fourth proportional to 456,932.52, 685,381.74 and 119,970.06 is: 179,950.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    456,932.52 : 685,381.74 = 119,970.06 : x
  2. Step 2: Convert to fraction form
    456,932.52/685,381.74 = 119,970.06/x
  3. Step 3: Cross multiply
    456,932.52x = 685,381.74 × 119,970.06
  4. Step 4: Simplify right side
    456,932.52x = 82,225,288,470.70
  5. Step 5: Solve for x
    x = 82,225,288,470.70/456,932.52
  6. Step 6: Final answer
    x = 179,950.62

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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.