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Finding the Fourth Proportional to 312,440.64, 468,564.38 and 112,735.64

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Solution

The fourth proportional to 312,440.64, 468,564.38 and 112,735.64 is: 169,068.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,440.64 : 468,564.38 = 112,735.64 : x
  2. Step 2: Convert to fraction form
    312,440.64/468,564.38 = 112,735.64/x
  3. Step 3: Cross multiply
    312,440.64x = 468,564.38 × 112,735.64
  4. Step 4: Simplify right side
    312,440.64x = 52,823,905,260.50
  5. Step 5: Solve for x
    x = 52,823,905,260.50/312,440.64
  6. Step 6: Final answer
    x = 169,068.61

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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.