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Finding the Fourth Proportional to 906,446.40, 1,359,626.40 and 307,348.80

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Solution

The fourth proportional to 906,446.40, 1,359,626.40 and 307,348.80 is: 461,008.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    906,446.40 : 1,359,626.40 = 307,348.80 : x
  2. Step 2: Convert to fraction form
    906,446.40/1,359,626.40 = 307,348.80/x
  3. Step 3: Cross multiply
    906,446.40x = 1,359,626.40 × 307,348.80
  4. Step 4: Simplify right side
    906,446.40x = 417,879,542,488.32
  5. Step 5: Solve for x
    x = 417,879,542,488.32/906,446.40
  6. Step 6: Final answer
    x = 461,008.55

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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.