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Finding the Fourth Proportional to 341,878.20, 512,817.30 and 229,903.80

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Solution

The fourth proportional to 341,878.20, 512,817.30 and 229,903.80 is: 344,855.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    341,878.20 : 512,817.30 = 229,903.80 : x
  2. Step 2: Convert to fraction form
    341,878.20/512,817.30 = 229,903.80/x
  3. Step 3: Cross multiply
    341,878.20x = 512,817.30 × 229,903.80
  4. Step 4: Simplify right side
    341,878.20x = 117,898,645,975.74
  5. Step 5: Solve for x
    x = 117,898,645,975.74/341,878.20
  6. Step 6: Final answer
    x = 344,855.70

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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.