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Finding the Fourth Proportional to 415,824.21, 573,836.63 and 234,535.59

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Solution

The fourth proportional to 415,824.21, 573,836.63 and 234,535.59 is: 323,658.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,824.21 : 573,836.63 = 234,535.59 : x
  2. Step 2: Convert to fraction form
    415,824.21/573,836.63 = 234,535.59/x
  3. Step 3: Cross multiply
    415,824.21x = 573,836.63 × 234,535.59
  4. Step 4: Simplify right side
    415,824.21x = 134,585,111,407.98
  5. Step 5: Solve for x
    x = 134,585,111,407.98/415,824.21
  6. Step 6: Final answer
    x = 323,658.67

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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.