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Finding the Fourth Proportional to 456,164.66, 683,823.60 and 216,391.04

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Solution

The fourth proportional to 456,164.66, 683,823.60 and 216,391.04 is: 324,385.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    456,164.66 : 683,823.60 = 216,391.04 : x
  2. Step 2: Convert to fraction form
    456,164.66/683,823.60 = 216,391.04/x
  3. Step 3: Cross multiply
    456,164.66x = 683,823.60 × 216,391.04
  4. Step 4: Simplify right side
    456,164.66x = 147,973,296,561.43
  5. Step 5: Solve for x
    x = 147,973,296,561.43/456,164.66
  6. Step 6: Final answer
    x = 324,385.71

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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.