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Finding the Fourth Proportional to 313,883.76, 433,175.40 and 193,031.76

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Solution

The fourth proportional to 313,883.76, 433,175.40 and 193,031.76 is: 266,393.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,883.76 : 433,175.40 = 193,031.76 : x
  2. Step 2: Convert to fraction form
    313,883.76/433,175.40 = 193,031.76/x
  3. Step 3: Cross multiply
    313,883.76x = 433,175.40 × 193,031.76
  4. Step 4: Simplify right side
    313,883.76x = 83,616,609,850.70
  5. Step 5: Solve for x
    x = 83,616,609,850.70/313,883.76
  6. Step 6: Final answer
    x = 266,393.55

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.