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Finding the Fourth Proportional to 243,029.40, 364,544.10 and 225,314.70

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Solution

The fourth proportional to 243,029.40, 364,544.10 and 225,314.70 is: 337,972.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    243,029.40 : 364,544.10 = 225,314.70 : x
  2. Step 2: Convert to fraction form
    243,029.40/364,544.10 = 225,314.70/x
  3. Step 3: Cross multiply
    243,029.40x = 364,544.10 × 225,314.70
  4. Step 4: Simplify right side
    243,029.40x = 82,137,144,528.27
  5. Step 5: Solve for x
    x = 82,137,144,528.27/243,029.40
  6. Step 6: Final answer
    x = 337,972.05

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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.