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Finding the Fourth Proportional to 456,309.63, 684,412.16 and 119,382.80

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Solution

The fourth proportional to 456,309.63, 684,412.16 and 119,382.80 is: 179,060.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    456,309.63 : 684,412.16 = 119,382.80 : x
  2. Step 2: Convert to fraction form
    456,309.63/684,412.16 = 119,382.80/x
  3. Step 3: Cross multiply
    456,309.63x = 684,412.16 × 119,382.80
  4. Step 4: Simplify right side
    456,309.63x = 81,707,035,995.87
  5. Step 5: Solve for x
    x = 81,707,035,995.87/456,309.63
  6. Step 6: Final answer
    x = 179,060.51

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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.