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Finding the Fourth Proportional to 266,459.32, 399,965.82 and 178,328.68

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Solution

The fourth proportional to 266,459.32, 399,965.82 and 178,328.68 is: 267,678.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    266,459.32 : 399,965.82 = 178,328.68 : x
  2. Step 2: Convert to fraction form
    266,459.32/399,965.82 = 178,328.68/x
  3. Step 3: Cross multiply
    266,459.32x = 399,965.82 × 178,328.68
  4. Step 4: Simplify right side
    266,459.32x = 71,325,376,725.72
  5. Step 5: Solve for x
    x = 71,325,376,725.72/266,459.32
  6. Step 6: Final answer
    x = 267,678.30

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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.