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Finding the Fourth Proportional to 551,346.30, 827,019.45 and 411,378.30

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Solution

The fourth proportional to 551,346.30, 827,019.45 and 411,378.30 is: 617,067.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    551,346.30 : 827,019.45 = 411,378.30 : x
  2. Step 2: Convert to fraction form
    551,346.30/827,019.45 = 411,378.30/x
  3. Step 3: Cross multiply
    551,346.30x = 827,019.45 × 411,378.30
  4. Step 4: Simplify right side
    551,346.30x = 340,217,855,407.94
  5. Step 5: Solve for x
    x = 340,217,855,407.94/551,346.30
  6. Step 6: Final answer
    x = 617,067.45

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Double scale
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Similar ratio
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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.