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Finding the Fourth Proportional to 520,083.10, 780,211.05 and 204,550.30

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Solution

The fourth proportional to 520,083.10, 780,211.05 and 204,550.30 is: 306,859.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    520,083.10 : 780,211.05 = 204,550.30 : x
  2. Step 2: Convert to fraction form
    520,083.10/780,211.05 = 204,550.30/x
  3. Step 3: Cross multiply
    520,083.10x = 780,211.05 × 204,550.30
  4. Step 4: Simplify right side
    520,083.10x = 159,592,404,340.82
  5. Step 5: Solve for x
    x = 159,592,404,340.82/520,083.10
  6. Step 6: Final answer
    x = 306,859.43

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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.