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Finding the Fourth Proportional to 456,004.89, 684,007.47 and 119,044.62

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Solution

The fourth proportional to 456,004.89, 684,007.47 and 119,044.62 is: 178,566.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    456,004.89 : 684,007.47 = 119,044.62 : x
  2. Step 2: Convert to fraction form
    456,004.89/684,007.47 = 119,044.62/x
  3. Step 3: Cross multiply
    456,004.89x = 684,007.47 × 119,044.62
  4. Step 4: Simplify right side
    456,004.89x = 81,427,409,343.31
  5. Step 5: Solve for x
    x = 81,427,409,343.31/456,004.89
  6. Step 6: Final answer
    x = 178,566.97

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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.