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Finding the Fourth Proportional to 415,066.20, 622,368.90 and 165,466.20

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Solution

The fourth proportional to 415,066.20, 622,368.90 and 165,466.20 is: 248,107.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,066.20 : 622,368.90 = 165,466.20 : x
  2. Step 2: Convert to fraction form
    415,066.20/622,368.90 = 165,466.20/x
  3. Step 3: Cross multiply
    415,066.20x = 622,368.90 × 165,466.20
  4. Step 4: Simplify right side
    415,066.20x = 102,981,016,881.18
  5. Step 5: Solve for x
    x = 102,981,016,881.18/415,066.20
  6. Step 6: Final answer
    x = 248,107.45

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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.