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Finding the Fourth Proportional to 469,851, 648,932.58 and 309,423.12

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Solution

The fourth proportional to 469,851, 648,932.58 and 309,423.12 is: 427,358.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    469,851 : 648,932.58 = 309,423.12 : x
  2. Step 2: Convert to fraction form
    469,851/648,932.58 = 309,423.12/x
  3. Step 3: Cross multiply
    469,851x = 648,932.58 × 309,423.12
  4. Step 4: Simplify right side
    469,851x = 200,794,743,573.25
  5. Step 5: Solve for x
    x = 200,794,743,573.25/469,851
  6. Step 6: Final answer
    x = 427,358.34

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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.