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Finding the Fourth Proportional to 307,262.16, 460,893.30 and 202,056.54

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Solution

The fourth proportional to 307,262.16, 460,893.30 and 202,056.54 is: 303,084.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    307,262.16 : 460,893.30 = 202,056.54 : x
  2. Step 2: Convert to fraction form
    307,262.16/460,893.30 = 202,056.54/x
  3. Step 3: Cross multiply
    307,262.16x = 460,893.30 × 202,056.54
  4. Step 4: Simplify right side
    307,262.16x = 93,126,505,507.18
  5. Step 5: Solve for x
    x = 93,126,505,507.18/307,262.16
  6. Step 6: Final answer
    x = 303,084.85

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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.