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Finding the Fourth Proportional to 288,593.50, 432,877.94 and 281,835.66

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Solution

The fourth proportional to 288,593.50, 432,877.94 and 281,835.66 is: 422,741.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,593.50 : 432,877.94 = 281,835.66 : x
  2. Step 2: Convert to fraction form
    288,593.50/432,877.94 = 281,835.66/x
  3. Step 3: Cross multiply
    288,593.50x = 432,877.94 × 281,835.66
  4. Step 4: Simplify right side
    288,593.50x = 122,000,439,919.34
  5. Step 5: Solve for x
    x = 122,000,439,919.34/288,593.50
  6. Step 6: Final answer
    x = 422,741.47

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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.