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Finding the Fourth Proportional to 415,715.19, 622,938.38 and 216,100.41

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Solution

The fourth proportional to 415,715.19, 622,938.38 and 216,100.41 is: 323,820.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,715.19 : 622,938.38 = 216,100.41 : x
  2. Step 2: Convert to fraction form
    415,715.19/622,938.38 = 216,100.41/x
  3. Step 3: Cross multiply
    415,715.19x = 622,938.38 × 216,100.41
  4. Step 4: Simplify right side
    415,715.19x = 134,617,238,242.23
  5. Step 5: Solve for x
    x = 134,617,238,242.23/415,715.19
  6. Step 6: Final answer
    x = 323,820.83

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.