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Finding the Fourth Proportional to 326,557.92, 490,018.32 and 176,796

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Solution

The fourth proportional to 326,557.92, 490,018.32 and 176,796 is: 265,292.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    326,557.92 : 490,018.32 = 176,796 : x
  2. Step 2: Convert to fraction form
    326,557.92/490,018.32 = 176,796/x
  3. Step 3: Cross multiply
    326,557.92x = 490,018.32 × 176,796
  4. Step 4: Simplify right side
    326,557.92x = 86,633,278,902.72
  5. Step 5: Solve for x
    x = 86,633,278,902.72/326,557.92
  6. Step 6: Final answer
    x = 265,292.23

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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.