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Finding the Fourth Proportional to 385,216.41, 577,903.43 and 132,464.08

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Solution

The fourth proportional to 385,216.41, 577,903.43 and 132,464.08 is: 198,723.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    385,216.41 : 577,903.43 = 132,464.08 : x
  2. Step 2: Convert to fraction form
    385,216.41/577,903.43 = 132,464.08/x
  3. Step 3: Cross multiply
    385,216.41x = 577,903.43 × 132,464.08
  4. Step 4: Simplify right side
    385,216.41x = 76,551,443,986.63
  5. Step 5: Solve for x
    x = 76,551,443,986.63/385,216.41
  6. Step 6: Final answer
    x = 198,723.21

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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.