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Finding the Fourth Proportional to 313,857.40, 433,080.78 and 200,599.80

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Solution

The fourth proportional to 313,857.40, 433,080.78 and 200,599.80 is: 276,800.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,857.40 : 433,080.78 = 200,599.80 : x
  2. Step 2: Convert to fraction form
    313,857.40/433,080.78 = 200,599.80/x
  3. Step 3: Cross multiply
    313,857.40x = 433,080.78 × 200,599.80
  4. Step 4: Simplify right side
    313,857.40x = 86,875,917,851.84
  5. Step 5: Solve for x
    x = 86,875,917,851.84/313,857.40
  6. Step 6: Final answer
    x = 276,800.60

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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.