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Finding the Fourth Proportional to 305,669.64, 458,193.42 and 283,041.48

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Solution

The fourth proportional to 305,669.64, 458,193.42 and 283,041.48 is: 424,274.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,669.64 : 458,193.42 = 283,041.48 : x
  2. Step 2: Convert to fraction form
    305,669.64/458,193.42 = 283,041.48/x
  3. Step 3: Cross multiply
    305,669.64x = 458,193.42 × 283,041.48
  4. Step 4: Simplify right side
    305,669.64x = 129,687,743,723.06
  5. Step 5: Solve for x
    x = 129,687,743,723.06/305,669.64
  6. Step 6: Final answer
    x = 424,274.21

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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.