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Finding the Fourth Proportional to 406,976.30, 610,464.46 and 328,244.30

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Solution

The fourth proportional to 406,976.30, 610,464.46 and 328,244.30 is: 492,366.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    406,976.30 : 610,464.46 = 328,244.30 : x
  2. Step 2: Convert to fraction form
    406,976.30/610,464.46 = 328,244.30/x
  3. Step 3: Cross multiply
    406,976.30x = 610,464.46 × 328,244.30
  4. Step 4: Simplify right side
    406,976.30x = 200,381,479,347.58
  5. Step 5: Solve for x
    x = 200,381,479,347.58/406,976.30
  6. Step 6: Final answer
    x = 492,366.46

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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.