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Finding the Fourth Proportional to 272,200.40, 407,863.20 and 201,341.60

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Solution

The fourth proportional to 272,200.40, 407,863.20 and 201,341.60 is: 301,688.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    272,200.40 : 407,863.20 = 201,341.60 : x
  2. Step 2: Convert to fraction form
    272,200.40/407,863.20 = 201,341.60/x
  3. Step 3: Cross multiply
    272,200.40x = 407,863.20 × 201,341.60
  4. Step 4: Simplify right side
    272,200.40x = 82,119,829,269.12
  5. Step 5: Solve for x
    x = 82,119,829,269.12/272,200.40
  6. Step 6: Final answer
    x = 301,688.86

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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.