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Finding the Fourth Proportional to 301,344.38, 415,819.32 and 178,817.30

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Solution

The fourth proportional to 301,344.38, 415,819.32 and 178,817.30 is: 246,746.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,344.38 : 415,819.32 = 178,817.30 : x
  2. Step 2: Convert to fraction form
    301,344.38/415,819.32 = 178,817.30/x
  3. Step 3: Cross multiply
    301,344.38x = 415,819.32 × 178,817.30
  4. Step 4: Simplify right side
    301,344.38x = 74,355,688,090.24
  5. Step 5: Solve for x
    x = 74,355,688,090.24/301,344.38
  6. Step 6: Final answer
    x = 246,746.56

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.