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Finding the Fourth Proportional to 406,052.90, 609,035.60 and 106,563.50

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Solution

The fourth proportional to 406,052.90, 609,035.60 and 106,563.50 is: 159,833.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    406,052.90 : 609,035.60 = 106,563.50 : x
  2. Step 2: Convert to fraction form
    406,052.90/609,035.60 = 106,563.50/x
  3. Step 3: Cross multiply
    406,052.90x = 609,035.60 × 106,563.50
  4. Step 4: Simplify right side
    406,052.90x = 64,900,965,160.60
  5. Step 5: Solve for x
    x = 64,900,965,160.60/406,052.90
  6. Step 6: Final answer
    x = 159,833.77

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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.