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Finding the Fourth Proportional to 275,216.60, 412,727.70 and 97,729.40

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Solution

The fourth proportional to 275,216.60, 412,727.70 and 97,729.40 is: 146,559.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,216.60 : 412,727.70 = 97,729.40 : x
  2. Step 2: Convert to fraction form
    275,216.60/412,727.70 = 97,729.40/x
  3. Step 3: Cross multiply
    275,216.60x = 412,727.70 × 97,729.40
  4. Step 4: Simplify right side
    275,216.60x = 40,335,630,484.38
  5. Step 5: Solve for x
    x = 40,335,630,484.38/275,216.60
  6. Step 6: Final answer
    x = 146,559.58

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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.