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Finding the Fourth Proportional to 302,443.93, 417,374.13 and 166,491.55

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Solution

The fourth proportional to 302,443.93, 417,374.13 and 166,491.55 is: 229,759.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    302,443.93 : 417,374.13 = 166,491.55 : x
  2. Step 2: Convert to fraction form
    302,443.93/417,374.13 = 166,491.55/x
  3. Step 3: Cross multiply
    302,443.93x = 417,374.13 × 166,491.55
  4. Step 4: Simplify right side
    302,443.93x = 69,489,265,833.60
  5. Step 5: Solve for x
    x = 69,489,265,833.60/302,443.93
  6. Step 6: Final answer
    x = 229,759.17

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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.