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Finding the Fourth Proportional to 283,570.24, 424,654.96 and 211,350

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Solution

The fourth proportional to 283,570.24, 424,654.96 and 211,350 is: 316,502.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    283,570.24 : 424,654.96 = 211,350 : x
  2. Step 2: Convert to fraction form
    283,570.24/424,654.96 = 211,350/x
  3. Step 3: Cross multiply
    283,570.24x = 424,654.96 × 211,350
  4. Step 4: Simplify right side
    283,570.24x = 89,750,825,796
  5. Step 5: Solve for x
    x = 89,750,825,796/283,570.24
  6. Step 6: Final answer
    x = 316,502.98

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.