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Finding the Fourth Proportional to 386,769.42, 533,731.50 and 214,686.90

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Solution

The fourth proportional to 386,769.42, 533,731.50 and 214,686.90 is: 296,262.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    386,769.42 : 533,731.50 = 214,686.90 : x
  2. Step 2: Convert to fraction form
    386,769.42/533,731.50 = 214,686.90/x
  3. Step 3: Cross multiply
    386,769.42x = 533,731.50 × 214,686.90
  4. Step 4: Simplify right side
    386,769.42x = 114,585,161,167.35
  5. Step 5: Solve for x
    x = 114,585,161,167.35/386,769.42
  6. Step 6: Final answer
    x = 296,262.20

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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.