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Finding the Fourth Proportional to 513,630.05, 708,374.54 and 309,636.26

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Solution

The fourth proportional to 513,630.05, 708,374.54 and 309,636.26 is: 427,035.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    513,630.05 : 708,374.54 = 309,636.26 : x
  2. Step 2: Convert to fraction form
    513,630.05/708,374.54 = 309,636.26/x
  3. Step 3: Cross multiply
    513,630.05x = 708,374.54 × 309,636.26
  4. Step 4: Simplify right side
    513,630.05x = 219,338,441,266.43
  5. Step 5: Solve for x
    x = 219,338,441,266.43/513,630.05
  6. Step 6: Final answer
    x = 427,035.84

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.