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Finding the Fourth Proportional to 299,673.68, 413,453.72 and 213,646.66

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Solution

The fourth proportional to 299,673.68, 413,453.72 and 213,646.66 is: 294,763.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,673.68 : 413,453.72 = 213,646.66 : x
  2. Step 2: Convert to fraction form
    299,673.68/413,453.72 = 213,646.66/x
  3. Step 3: Cross multiply
    299,673.68x = 413,453.72 × 213,646.66
  4. Step 4: Simplify right side
    299,673.68x = 88,333,006,966.97
  5. Step 5: Solve for x
    x = 88,333,006,966.97/299,673.68
  6. Step 6: Final answer
    x = 294,763.99

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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.