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Finding the Fourth Proportional to 312,201.60, 468,302.40 and 227,564.70

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Solution

The fourth proportional to 312,201.60, 468,302.40 and 227,564.70 is: 341,347.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,201.60 : 468,302.40 = 227,564.70 : x
  2. Step 2: Convert to fraction form
    312,201.60/468,302.40 = 227,564.70/x
  3. Step 3: Cross multiply
    312,201.60x = 468,302.40 × 227,564.70
  4. Step 4: Simplify right side
    312,201.60x = 106,569,095,165.28
  5. Step 5: Solve for x
    x = 106,569,095,165.28/312,201.60
  6. Step 6: Final answer
    x = 341,347.05

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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.