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Finding the Fourth Proportional to 543,575.61, 815,041.44 and 164,381.40

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Solution

The fourth proportional to 543,575.61, 815,041.44 and 164,381.40 is: 246,474.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    543,575.61 : 815,041.44 = 164,381.40 : x
  2. Step 2: Convert to fraction form
    543,575.61/815,041.44 = 164,381.40/x
  3. Step 3: Cross multiply
    543,575.61x = 815,041.44 × 164,381.40
  4. Step 4: Simplify right side
    543,575.61x = 133,977,652,965.22
  5. Step 5: Solve for x
    x = 133,977,652,965.22/543,575.61
  6. Step 6: Final answer
    x = 246,474.73

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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.