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Finding the Fourth Proportional to 395,730, 546,141.96 and 216,916.56

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Solution

The fourth proportional to 395,730, 546,141.96 and 216,916.56 is: 299,363.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    395,730 : 546,141.96 = 216,916.56 : x
  2. Step 2: Convert to fraction form
    395,730/546,141.96 = 216,916.56/x
  3. Step 3: Cross multiply
    395,730x = 546,141.96 × 216,916.56
  4. Step 4: Simplify right side
    395,730x = 118,467,235,234.86
  5. Step 5: Solve for x
    x = 118,467,235,234.86/395,730
  6. Step 6: Final answer
    x = 299,363.80

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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.