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Finding the Fourth Proportional to 326,688.63, 490,051.41 and 116,326.59

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Solution

The fourth proportional to 326,688.63, 490,051.41 and 116,326.59 is: 174,496.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    326,688.63 : 490,051.41 = 116,326.59 : x
  2. Step 2: Convert to fraction form
    326,688.63/490,051.41 = 116,326.59/x
  3. Step 3: Cross multiply
    326,688.63x = 490,051.41 × 116,326.59
  4. Step 4: Simplify right side
    326,688.63x = 57,006,009,449.99
  5. Step 5: Solve for x
    x = 57,006,009,449.99/326,688.63
  6. Step 6: Final answer
    x = 174,496.46

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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.