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Finding the Fourth Proportional to 468,133.20, 700,450.20 and 310,669.20

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Solution

The fourth proportional to 468,133.20, 700,450.20 and 310,669.20 is: 464,842.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    468,133.20 : 700,450.20 = 310,669.20 : x
  2. Step 2: Convert to fraction form
    468,133.20/700,450.20 = 310,669.20/x
  3. Step 3: Cross multiply
    468,133.20x = 700,450.20 × 310,669.20
  4. Step 4: Simplify right side
    468,133.20x = 217,608,303,273.84
  5. Step 5: Solve for x
    x = 217,608,303,273.84/468,133.20
  6. Step 6: Final answer
    x = 464,842.71

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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.