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Finding the Fourth Proportional to 317,682.81, 438,409.94 and 172,494.77

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Solution

The fourth proportional to 317,682.81, 438,409.94 and 172,494.77 is: 238,046.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    317,682.81 : 438,409.94 = 172,494.77 : x
  2. Step 2: Convert to fraction form
    317,682.81/438,409.94 = 172,494.77/x
  3. Step 3: Cross multiply
    317,682.81x = 438,409.94 × 172,494.77
  4. Step 4: Simplify right side
    317,682.81x = 75,623,421,766.01
  5. Step 5: Solve for x
    x = 75,623,421,766.01/317,682.81
  6. Step 6: Final answer
    x = 238,046.94

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.