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Finding the Fourth Proportional to 289,904.84, 399,698.34 and 187,749.80

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Solution

The fourth proportional to 289,904.84, 399,698.34 and 187,749.80 is: 258,854.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,904.84 : 399,698.34 = 187,749.80 : x
  2. Step 2: Convert to fraction form
    289,904.84/399,698.34 = 187,749.80/x
  3. Step 3: Cross multiply
    289,904.84x = 399,698.34 × 187,749.80
  4. Step 4: Simplify right side
    289,904.84x = 75,043,283,395.33
  5. Step 5: Solve for x
    x = 75,043,283,395.33/289,904.84
  6. Step 6: Final answer
    x = 258,854.88

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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.