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Finding the Fourth Proportional to 386,804.76, 580,197.96 and 227,888.52

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Solution

The fourth proportional to 386,804.76, 580,197.96 and 227,888.52 is: 341,827.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    386,804.76 : 580,197.96 = 227,888.52 : x
  2. Step 2: Convert to fraction form
    386,804.76/580,197.96 = 227,888.52/x
  3. Step 3: Cross multiply
    386,804.76x = 580,197.96 × 227,888.52
  4. Step 4: Simplify right side
    386,804.76x = 132,220,454,411.42
  5. Step 5: Solve for x
    x = 132,220,454,411.42/386,804.76
  6. Step 6: Final answer
    x = 341,827.37

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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.