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Finding the Fourth Proportional to 433,299.69, 650,055.89 and 305,465.78

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Solution

The fourth proportional to 433,299.69, 650,055.89 and 305,465.78 is: 458,273.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    433,299.69 : 650,055.89 = 305,465.78 : x
  2. Step 2: Convert to fraction form
    433,299.69/650,055.89 = 305,465.78/x
  3. Step 3: Cross multiply
    433,299.69x = 650,055.89 × 305,465.78
  4. Step 4: Simplify right side
    433,299.69x = 198,569,831,871.25
  5. Step 5: Solve for x
    x = 198,569,831,871.25/433,299.69
  6. Step 6: Final answer
    x = 458,273.65

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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.