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Finding the Fourth Proportional to 229,959.40, 344,939.10 and 200,434.90

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Solution

The fourth proportional to 229,959.40, 344,939.10 and 200,434.90 is: 300,652.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,959.40 : 344,939.10 = 200,434.90 : x
  2. Step 2: Convert to fraction form
    229,959.40/344,939.10 = 200,434.90/x
  3. Step 3: Cross multiply
    229,959.40x = 344,939.10 × 200,434.90
  4. Step 4: Simplify right side
    229,959.40x = 69,137,834,014.59
  5. Step 5: Solve for x
    x = 69,137,834,014.59/229,959.40
  6. Step 6: Final answer
    x = 300,652.35

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1.5x scale

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.