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Finding the Fourth Proportional to 415,232.20, 622,617.90 and 165,632.20

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Solution

The fourth proportional to 415,232.20, 622,617.90 and 165,632.20 is: 248,356.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,232.20 : 622,617.90 = 165,632.20 : x
  2. Step 2: Convert to fraction form
    415,232.20/622,617.90 = 165,632.20/x
  3. Step 3: Cross multiply
    415,232.20x = 622,617.90 × 165,632.20
  4. Step 4: Simplify right side
    415,232.20x = 103,125,572,536.38
  5. Step 5: Solve for x
    x = 103,125,572,536.38/415,232.20
  6. Step 6: Final answer
    x = 248,356.40

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1.5x scale

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.