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Finding the Fourth Proportional to 326,577.92, 490,048.32 and 176,816

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Solution

The fourth proportional to 326,577.92, 490,048.32 and 176,816 is: 265,322.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    326,577.92 : 490,048.32 = 176,816 : x
  2. Step 2: Convert to fraction form
    326,577.92/490,048.32 = 176,816/x
  3. Step 3: Cross multiply
    326,577.92x = 490,048.32 × 176,816
  4. Step 4: Simplify right side
    326,577.92x = 86,648,383,749.12
  5. Step 5: Solve for x
    x = 86,648,383,749.12/326,577.92
  6. Step 6: Final answer
    x = 265,322.24

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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.