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Finding the Fourth Proportional to 324,146.60, 447,347.64 and 180,928.14

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Solution

The fourth proportional to 324,146.60, 447,347.64 and 180,928.14 is: 249,694.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    324,146.60 : 447,347.64 = 180,928.14 : x
  2. Step 2: Convert to fraction form
    324,146.60/447,347.64 = 180,928.14/x
  3. Step 3: Cross multiply
    324,146.60x = 447,347.64 × 180,928.14
  4. Step 4: Simplify right side
    324,146.60x = 80,937,776,438.59
  5. Step 5: Solve for x
    x = 80,937,776,438.59/324,146.60
  6. Step 6: Final answer
    x = 249,694.97

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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.