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Finding the Fourth Proportional to 326,878.17, 490,317.27 and 116,368.48

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Solution

The fourth proportional to 326,878.17, 490,317.27 and 116,368.48 is: 174,552.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    326,878.17 : 490,317.27 = 116,368.48 : x
  2. Step 2: Convert to fraction form
    326,878.17/490,317.27 = 116,368.48/x
  3. Step 3: Cross multiply
    326,878.17x = 490,317.27 × 116,368.48
  4. Step 4: Simplify right side
    326,878.17x = 57,057,475,427.65
  5. Step 5: Solve for x
    x = 57,057,475,427.65/326,878.17
  6. Step 6: Final answer
    x = 174,552.73

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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.