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Finding the Fourth Proportional to 409,400.70, 614,101.05 and 290,427.90

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Solution

The fourth proportional to 409,400.70, 614,101.05 and 290,427.90 is: 435,641.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,400.70 : 614,101.05 = 290,427.90 : x
  2. Step 2: Convert to fraction form
    409,400.70/614,101.05 = 290,427.90/x
  3. Step 3: Cross multiply
    409,400.70x = 614,101.05 × 290,427.90
  4. Step 4: Simplify right side
    409,400.70x = 178,352,078,339.30
  5. Step 5: Solve for x
    x = 178,352,078,339.30/409,400.70
  6. Step 6: Final answer
    x = 435,641.85

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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.