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Finding the Fourth Proportional to 260,659.42, 389,371.83 and 189,013.30

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Solution

The fourth proportional to 260,659.42, 389,371.83 and 189,013.30 is: 282,347.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    260,659.42 : 389,371.83 = 189,013.30 : x
  2. Step 2: Convert to fraction form
    260,659.42/389,371.83 = 189,013.30/x
  3. Step 3: Cross multiply
    260,659.42x = 389,371.83 × 189,013.30
  4. Step 4: Simplify right side
    260,659.42x = 73,596,454,515.34
  5. Step 5: Solve for x
    x = 73,596,454,515.34/260,659.42
  6. Step 6: Final answer
    x = 282,347.19

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.