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Finding the Fourth Proportional to 414,276.80, 621,415.20 and 370,974.20

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Solution

The fourth proportional to 414,276.80, 621,415.20 and 370,974.20 is: 556,461.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    414,276.80 : 621,415.20 = 370,974.20 : x
  2. Step 2: Convert to fraction form
    414,276.80/621,415.20 = 370,974.20/x
  3. Step 3: Cross multiply
    414,276.80x = 621,415.20 × 370,974.20
  4. Step 4: Simplify right side
    414,276.80x = 230,529,006,687.84
  5. Step 5: Solve for x
    x = 230,529,006,687.84/414,276.80
  6. Step 6: Final answer
    x = 556,461.30

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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.