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Finding the Fourth Proportional to 340,038.40, 509,620.20 and 206,777.20

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Solution

The fourth proportional to 340,038.40, 509,620.20 and 206,777.20 is: 309,899.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    340,038.40 : 509,620.20 = 206,777.20 : x
  2. Step 2: Convert to fraction form
    340,038.40/509,620.20 = 206,777.20/x
  3. Step 3: Cross multiply
    340,038.40x = 509,620.20 × 206,777.20
  4. Step 4: Simplify right side
    340,038.40x = 105,377,838,019.44
  5. Step 5: Solve for x
    x = 105,377,838,019.44/340,038.40
  6. Step 6: Final answer
    x = 309,899.82

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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.