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Finding the Fourth Proportional to 413,538.60, 620,394.30 and 133,084.20

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Solution

The fourth proportional to 413,538.60, 620,394.30 and 133,084.20 is: 199,654.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,538.60 : 620,394.30 = 133,084.20 : x
  2. Step 2: Convert to fraction form
    413,538.60/620,394.30 = 133,084.20/x
  3. Step 3: Cross multiply
    413,538.60x = 620,394.30 × 133,084.20
  4. Step 4: Simplify right side
    413,538.60x = 82,564,679,100.06
  5. Step 5: Solve for x
    x = 82,564,679,100.06/413,538.60
  6. Step 6: Final answer
    x = 199,654.11

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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.