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Finding the Fourth Proportional to 301,155.13, 415,594.64 and 165,190.17

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Solution

The fourth proportional to 301,155.13, 415,594.64 and 165,190.17 is: 227,962.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,155.13 : 415,594.64 = 165,190.17 : x
  2. Step 2: Convert to fraction form
    301,155.13/415,594.64 = 165,190.17/x
  3. Step 3: Cross multiply
    301,155.13x = 415,594.64 × 165,190.17
  4. Step 4: Simplify right side
    301,155.13x = 68,652,149,232.69
  5. Step 5: Solve for x
    x = 68,652,149,232.69/301,155.13
  6. Step 6: Final answer
    x = 227,962.74

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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.