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Finding the Fourth Proportional to 520,092.40, 780,138.60 and 415,116.40

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Solution

The fourth proportional to 520,092.40, 780,138.60 and 415,116.40 is: 622,674.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    520,092.40 : 780,138.60 = 415,116.40 : x
  2. Step 2: Convert to fraction form
    520,092.40/780,138.60 = 415,116.40/x
  3. Step 3: Cross multiply
    520,092.40x = 780,138.60 × 415,116.40
  4. Step 4: Simplify right side
    520,092.40x = 323,848,327,133.04
  5. Step 5: Solve for x
    x = 323,848,327,133.04/520,092.40
  6. Step 6: Final answer
    x = 622,674.60

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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.