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Finding the Fourth Proportional to 520,069.70, 780,177.45 and 204,453.20

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Solution

The fourth proportional to 520,069.70, 780,177.45 and 204,453.20 is: 306,708.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    520,069.70 : 780,177.45 = 204,453.20 : x
  2. Step 2: Convert to fraction form
    520,069.70/780,177.45 = 204,453.20/x
  3. Step 3: Cross multiply
    520,069.70x = 780,177.45 × 204,453.20
  4. Step 4: Simplify right side
    520,069.70x = 159,509,776,220.34
  5. Step 5: Solve for x
    x = 159,509,776,220.34/520,069.70
  6. Step 6: Final answer
    x = 306,708.46

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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.