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Finding the Fourth Proportional to 283,079.78, 390,660.84 and 162,244.38

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Solution

The fourth proportional to 283,079.78, 390,660.84 and 162,244.38 is: 223,903.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    283,079.78 : 390,660.84 = 162,244.38 : x
  2. Step 2: Convert to fraction form
    283,079.78/390,660.84 = 162,244.38/x
  3. Step 3: Cross multiply
    283,079.78x = 390,660.84 × 162,244.38
  4. Step 4: Simplify right side
    283,079.78x = 63,382,525,776.08
  5. Step 5: Solve for x
    x = 63,382,525,776.08/283,079.78
  6. Step 6: Final answer
    x = 223,903.41

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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.