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Finding the Fourth Proportional to 409,408.20, 614,112.30 and 290,435.40

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Solution

The fourth proportional to 409,408.20, 614,112.30 and 290,435.40 is: 435,653.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,408.20 : 614,112.30 = 290,435.40 : x
  2. Step 2: Convert to fraction form
    409,408.20/614,112.30 = 290,435.40/x
  3. Step 3: Cross multiply
    409,408.20x = 614,112.30 × 290,435.40
  4. Step 4: Simplify right side
    409,408.20x = 178,359,951,495.42
  5. Step 5: Solve for x
    x = 178,359,951,495.42/409,408.20
  6. Step 6: Final answer
    x = 435,653.10

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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.