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Finding the Fourth Proportional to 280,701.66, 386,964.97 and 199,989.06

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Solution

The fourth proportional to 280,701.66, 386,964.97 and 199,989.06 is: 275,697.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,701.66 : 386,964.97 = 199,989.06 : x
  2. Step 2: Convert to fraction form
    280,701.66/386,964.97 = 199,989.06/x
  3. Step 3: Cross multiply
    280,701.66x = 386,964.97 × 199,989.06
  4. Step 4: Simplify right side
    280,701.66x = 77,388,760,828.81
  5. Step 5: Solve for x
    x = 77,388,760,828.81/280,701.66
  6. Step 6: Final answer
    x = 275,697.55

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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.