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Finding the Fourth Proportional to 400,951.34, 601,426.80 and 161,065.22

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Solution

The fourth proportional to 400,951.34, 601,426.80 and 161,065.22 is: 241,597.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    400,951.34 : 601,426.80 = 161,065.22 : x
  2. Step 2: Convert to fraction form
    400,951.34/601,426.80 = 161,065.22/x
  3. Step 3: Cross multiply
    400,951.34x = 601,426.80 × 161,065.22
  4. Step 4: Simplify right side
    400,951.34x = 96,868,939,855.90
  5. Step 5: Solve for x
    x = 96,868,939,855.90/400,951.34
  6. Step 6: Final answer
    x = 241,597.75

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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.