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Finding the Fourth Proportional to 520,075.10, 780,199.05 and 204,542.30

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Solution

The fourth proportional to 520,075.10, 780,199.05 and 204,542.30 is: 306,847.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    520,075.10 : 780,199.05 = 204,542.30 : x
  2. Step 2: Convert to fraction form
    520,075.10/780,199.05 = 204,542.30/x
  3. Step 3: Cross multiply
    520,075.10x = 780,199.05 × 204,542.30
  4. Step 4: Simplify right side
    520,075.10x = 159,583,708,144.82
  5. Step 5: Solve for x
    x = 159,583,708,144.82/520,075.10
  6. Step 6: Final answer
    x = 306,847.43

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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.