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Finding the Fourth Proportional to 324,106.40, 447,213.34 and 180,866.10

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Solution

The fourth proportional to 324,106.40, 447,213.34 and 180,866.10 is: 249,565.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    324,106.40 : 447,213.34 = 180,866.10 : x
  2. Step 2: Convert to fraction form
    324,106.40/447,213.34 = 180,866.10/x
  3. Step 3: Cross multiply
    324,106.40x = 447,213.34 × 180,866.10
  4. Step 4: Simplify right side
    324,106.40x = 80,885,732,221.61
  5. Step 5: Solve for x
    x = 80,885,732,221.61/324,106.40
  6. Step 6: Final answer
    x = 249,565.36

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