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Finding the Fourth Proportional to 520,047.70, 780,144.45 and 204,431.20

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Solution

The fourth proportional to 520,047.70, 780,144.45 and 204,431.20 is: 306,675.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    520,047.70 : 780,144.45 = 204,431.20 : x
  2. Step 2: Convert to fraction form
    520,047.70/780,144.45 = 204,431.20/x
  3. Step 3: Cross multiply
    520,047.70x = 780,144.45 × 204,431.20
  4. Step 4: Simplify right side
    520,047.70x = 159,485,866,086.84
  5. Step 5: Solve for x
    x = 159,485,866,086.84/520,047.70
  6. Step 6: Final answer
    x = 306,675.46

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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.