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Finding the Fourth Proportional to 414,000.20, 621,000.30 and 147,769.40

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Solution

The fourth proportional to 414,000.20, 621,000.30 and 147,769.40 is: 221,654.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    414,000.20 : 621,000.30 = 147,769.40 : x
  2. Step 2: Convert to fraction form
    414,000.20/621,000.30 = 147,769.40/x
  3. Step 3: Cross multiply
    414,000.20x = 621,000.30 × 147,769.40
  4. Step 4: Simplify right side
    414,000.20x = 91,764,841,730.82
  5. Step 5: Solve for x
    x = 91,764,841,730.82/414,000.20
  6. Step 6: Final answer
    x = 221,654.10

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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.