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Finding the Fourth Proportional to 228,055.36, 341,938.14 and 200,031.70

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Solution

The fourth proportional to 228,055.36, 341,938.14 and 200,031.70 is: 299,920.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    228,055.36 : 341,938.14 = 200,031.70 : x
  2. Step 2: Convert to fraction form
    228,055.36/341,938.14 = 200,031.70/x
  3. Step 3: Cross multiply
    228,055.36x = 341,938.14 × 200,031.70
  4. Step 4: Simplify right side
    228,055.36x = 68,398,467,439.04
  5. Step 5: Solve for x
    x = 68,398,467,439.04/228,055.36
  6. Step 6: Final answer
    x = 299,920.46

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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.