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Finding the Fourth Proportional to 409,961.40, 614,942.10 and 339,977.40

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Solution

The fourth proportional to 409,961.40, 614,942.10 and 339,977.40 is: 509,966.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,961.40 : 614,942.10 = 339,977.40 : x
  2. Step 2: Convert to fraction form
    409,961.40/614,942.10 = 339,977.40/x
  3. Step 3: Cross multiply
    409,961.40x = 614,942.10 × 339,977.40
  4. Step 4: Simplify right side
    409,961.40x = 209,066,416,308.54
  5. Step 5: Solve for x
    x = 209,066,416,308.54/409,961.40
  6. Step 6: Final answer
    x = 509,966.10

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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.