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Finding the Fourth Proportional to 664,245.40, 996,368.10 and 383,434.60

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Solution

The fourth proportional to 664,245.40, 996,368.10 and 383,434.60 is: 575,151.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    664,245.40 : 996,368.10 = 383,434.60 : x
  2. Step 2: Convert to fraction form
    664,245.40/996,368.10 = 383,434.60/x
  3. Step 3: Cross multiply
    664,245.40x = 996,368.10 × 383,434.60
  4. Step 4: Simplify right side
    664,245.40x = 382,042,003,876.26
  5. Step 5: Solve for x
    x = 382,042,003,876.26/664,245.40
  6. Step 6: Final answer
    x = 575,151.90

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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.