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Finding the Fourth Proportional to 646,182.31, 892,478.10 and 430,948.30

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Solution

The fourth proportional to 646,182.31, 892,478.10 and 430,948.30 is: 595,206.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    646,182.31 : 892,478.10 = 430,948.30 : x
  2. Step 2: Convert to fraction form
    646,182.31/892,478.10 = 430,948.30/x
  3. Step 3: Cross multiply
    646,182.31x = 892,478.10 × 430,948.30
  4. Step 4: Simplify right side
    646,182.31x = 384,611,919,982.23
  5. Step 5: Solve for x
    x = 384,611,919,982.23/646,182.31
  6. Step 6: Final answer
    x = 595,206.51

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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.