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Finding the Fourth Proportional to 400,794.54, 601,216.51 and 176,260.71

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Solution

The fourth proportional to 400,794.54, 601,216.51 and 176,260.71 is: 264,401.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    400,794.54 : 601,216.51 = 176,260.71 : x
  2. Step 2: Convert to fraction form
    400,794.54/601,216.51 = 176,260.71/x
  3. Step 3: Cross multiply
    400,794.54x = 601,216.51 × 176,260.71
  4. Step 4: Simplify right side
    400,794.54x = 105,970,848,916.32
  5. Step 5: Solve for x
    x = 105,970,848,916.32/400,794.54
  6. Step 6: Final answer
    x = 264,401.93

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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.