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Finding the Fourth Proportional to 468,730.54, 702,984.30 and 202,345.30

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Solution

The fourth proportional to 468,730.54, 702,984.30 and 202,345.30 is: 303,469.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    468,730.54 : 702,984.30 = 202,345.30 : x
  2. Step 2: Convert to fraction form
    468,730.54/702,984.30 = 202,345.30/x
  3. Step 3: Cross multiply
    468,730.54x = 702,984.30 × 202,345.30
  4. Step 4: Simplify right side
    468,730.54x = 142,245,569,078.79
  5. Step 5: Solve for x
    x = 142,245,569,078.79/468,730.54
  6. Step 6: Final answer
    x = 303,469.81

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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.