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Finding the Fourth Proportional to 343,066.50, 514,031.31 and 242,729.46

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Solution

The fourth proportional to 343,066.50, 514,031.31 and 242,729.46 is: 363,692.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    343,066.50 : 514,031.31 = 242,729.46 : x
  2. Step 2: Convert to fraction form
    343,066.50/514,031.31 = 242,729.46/x
  3. Step 3: Cross multiply
    343,066.50x = 514,031.31 × 242,729.46
  4. Step 4: Simplify right side
    343,066.50x = 124,770,542,299.39
  5. Step 5: Solve for x
    x = 124,770,542,299.39/343,066.50
  6. Step 6: Final answer
    x = 363,692.00

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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.